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501050011116 = 223237934136733
BaseRepresentation
bin1110100101010001110…
…10000110110111101100
31202220022000222210201010
413102220322012313230
531202122300323431
61022102412345220
751125325552264
oct7225072066754
91686260883633
10501050011116
1118354873a386
1281134775210
1338330848425
141a37286c7a4
15d077de2846
hex74a8e86dec

501050011116 has 96 divisors (see below), whose sum is σ = 1235935733760. Its totient is φ = 157663224576.

The previous prime is 501050011109. The next prime is 501050011117. The reversal of 501050011116 is 611110050105.

It is a happy number.

It is a super-2 number, since 2×5010500111162 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 501050011092 and 501050011101.

It is not an unprimeable number, because it can be changed into a prime (501050011117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74413686 + ... + 74420418.

It is an arithmetic number, because the mean of its divisors is an integer number (12874330560).

Almost surely, 2501050011116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501050011116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617967866880).

501050011116 is an abundant number, since it is smaller than the sum of its proper divisors (734885722644).

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

501050011116 is a wasteful number, since it uses less digits than its factorization.

501050011116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10255 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 501050011116 in words is "five hundred one billion, fifty million, eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 138 158 237 276 316 474 948 1817 3413 3634 5451 6733 6826 7268 10239 10902 13466 13652 20199 20478 21804 26932 40398 40956 78499 80796 154859 156998 235497 269627 309718 313996 464577 470994 531907 539254 619436 808881 929154 941988 1063814 1078508 1595721 1617762 1858308 2127628 3191442 3235524 6201421 6382884 12233861 12402842 18604263 22979729 24467722 24805684 36701583 37208526 45959458 48935444 68939187 73403166 74417052 91918916 137878374 146806332 275756748 528533767 1057067534 1585601301 1815398591 2114135068 3171202602 3630797182 5446195773 6342405204 7261594364 10892391546 21784783092 41754167593 83508335186 125262502779 167016670372 250525005558 501050011116