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642453354246 = 2311194189140401
BaseRepresentation
bin10010101100101010011…
…01000011011100000110
32021102021200022220022210
421112111031003130012
541011221024313441
61211050005004250
764262410260054
oct11262515033406
92242250286283
10642453354246
11228510195a30
12a46183b3686
1348777089772
14231485dd1d4
1511aa1e19616
hex9595343706

642453354246 has 128 divisors (see below), whose sum is σ = 1528472332800. Its totient is φ = 177914880000.

The previous prime is 642453354187. The next prime is 642453354331.

642453354246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 642453354195 and 642453354204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4505646 + ... + 4646046.

It is an arithmetic number, because the mean of its divisors is an integer number (11941190100).

Almost surely, 2642453354246 is an apocalyptic number.

642453354246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 642453354246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764236166400).

642453354246 is an abundant number, since it is smaller than the sum of its proper divisors (886018978554).

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

642453354246 is a wasteful number, since it uses less digits than its factorization.

642453354246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140566.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 642453 and 354246, that added together give a palindrome (996699).

The spelling of 642453354246 in words is "six hundred forty-two billion, four hundred fifty-three million, three hundred fifty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 41 57 66 82 89 114 123 178 209 246 267 418 451 534 627 779 902 979 1254 1353 1558 1691 1958 2337 2706 2937 3382 3649 4674 5073 5874 7298 8569 10146 10947 17138 18601 21894 25707 37202 40139 51414 55803 69331 80278 111606 120417 138662 140401 207993 240834 280802 415986 421203 762641 842406 1525282 1544411 2287923 2667619 3088822 4575846 4633233 5335238 5756441 8002857 9266466 11512882 12495689 16005714 17269323 24991378 29343809 34538646 37487067 58687618 63320851 74974134 88031427 109372379 126641702 137452579 176062854 189962553 218744758 237418091 274905158 328117137 379925106 412357737 474836182 512323249 656234274 712254273 824715474 1024646498 1203096169 1424508546 1536969747 2406192338 2611599001 3073939494 3609288507 5223198002 5635555739 7218577014 7834797003 9734141731 11271111478 15669594006 16906667217 19468283462 29202425193 33813334434 58404850386 107075559041 214151118082 321226677123 642453354246