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502052163340336 = 2471911031847115807
BaseRepresentation
bin111001000100111010010000…
…0110110101100100000110000
32102211121201101110221202001121
41302021310200312230200300
51011301110312303342321
64535435325124112024
7210515033426511250
oct16211644066544060
92384551343852047
10502052163340336
11135a73143807284
12483850a5835614
131871a414c320cb
148bd9650a93960
153d097e014a441
hex1c89d20dac830

502052163340336 has 160 divisors (see below), whose sum is σ = 1171901953474560. Its totient is φ = 203543901520128.

The previous prime is 502052163340309. The next prime is 502052163340367. The reversal of 502052163340336 is 633043361250205.

It is a super-2 number, since 2×5020521633403362 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 502052163340292 and 502052163340301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4335190945 + ... + 4335306751.

It is an arithmetic number, because the mean of its divisors is an integer number (7324387209216).

Almost surely, 2502052163340336 is an apocalyptic number.

502052163340336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502052163340336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585950976737280).

502052163340336 is an abundant number, since it is smaller than the sum of its proper divisors (669849790134224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

502052163340336 is a wasteful number, since it uses less digits than its factorization.

502052163340336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118791 (or 118785 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 43.

The spelling of 502052163340336 in words is "five hundred two trillion, fifty-two billion, one hundred sixty-three million, three hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1103 1847 2128 2206 3694 4412 7388 7721 8824 12929 14776 15442 17648 20957 25858 29552 30884 35093 41914 51716 61768 70186 83828 103432 115807 123536 140372 146699 167656 206864 231614 245651 280744 293398 335312 463228 491302 561488 586796 810649 926456 982604 1173592 1621298 1852912 1965208 2037241 2200333 2347184 3242596 3930416 4074482 4400666 6485192 8148964 8801332 12970384 14260687 15402331 16297928 17602664 28521374 30804662 32595856 35205328 38707579 57042748 61609324 77415158 114085496 123218648 127735121 154830316 213895529 228170992 246437296 255470242 270953053 309660632 427791058 510940484 541906106 619321264 855582116 894145847 1021880968 1083812212 1497268703 1711164232 1788291694 2043761936 2167624424 2426967299 2994537406 3422328464 3576583388 4064015051 4335248848 4853934598 5989074812 7153166776 8128030102 9707869196 11978149624 14306333552 16256060204 16988771093 19415738392 23956299248 28448105357 32512120408 33977542186 38831476784 56896210714 65024240816 67955084372 113792421428 135910168744 227584842856 235926768487 271820337488 455169685712 471853536974 943707073948 1651487379409 1887414147896 3302974758818 3774828295792 4482608601253 6605949517636 8965217202506 13211899035272 17930434405012 26423798070544 31378260208771 35860868810024 62756520417542 71721737620048 125513040835084 251026081670168 502052163340336