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496351797894896 = 24232832347301039
BaseRepresentation
bin111000011011011011110100…
…0100110001101111011110000
32102002102202202012200200000012
41300312313220212031323300
51010024211440230114041
64515352511301314052
7206356143155626016
oct16066675046157360
92362382665620005
10496351797894896
111341756850575a9
1247804378a05928
13183c5a09a9a708
148a7d7ab6788b6
153c5b3b17363eb
hex1c36de898def0

496351797894896 has 120 divisors (see below), whose sum is σ = 1017860846903040. Its totient is φ = 234424870086528.

The previous prime is 496351797894853. The next prime is 496351797894947. The reversal of 496351797894896 is 698498797153694.

It is a junction number, because it is equal to n+sod(n) for n = 496351797894799 and 496351797894808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648645145 + ... + 1648946183.

It is an arithmetic number, because the mean of its divisors is an integer number (8482173724192).

Almost surely, 2496351797894896 is an apocalyptic number.

496351797894896 is a gapful number since it is divisible by the number (46) 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 496351797894896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508930423451520).

496351797894896 is an abundant number, since it is smaller than the sum of its proper divisors (521509049008144).

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

496351797894896 is a wasteful number, since it uses less digits than its factorization.

496351797894896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303523 (or 303494 counting only the distinct ones).

The product of its digits is 177770557440, while the sum is 95.

The spelling of 496351797894896 in words is "four hundred ninety-six trillion, three hundred fifty-one billion, seven hundred ninety-seven million, eight hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 83 92 166 184 332 368 529 664 1058 1328 1909 2116 2347 3818 4232 4694 7636 8464 9388 15272 18776 30544 37552 43907 53981 87814 107962 175628 194801 215924 301039 351256 389602 431848 602078 702512 779204 863696 1204156 1241563 1558408 2408312 2483126 3116816 4480423 4816624 4966252 6923897 8960846 9932504 13847794 17921692 19865008 24986237 27695588 35843384 49972474 55391176 71686768 99944948 103049729 110782352 159249631 199889896 206099458 318499262 399779792 412198916 574683451 636998524 706538533 824397832 1149366902 1273997048 1413077066 1648795664 2298733804 2547994096 2826154132 4597467608 5652308264 9194935216 11304616528 13217719373 16250386259 26435438746 32500772518 52870877492 58642698239 65001545036 105741754984 117285396478 130003090072 211483509968 234570792956 260006180144 373758883957 469141585912 747517767914 938283171824 1348782059497 1495035535828 2697564118994 2990071071656 5395128237988 5980142143312 10790256475976 21580512951952 31021987368431 62043974736862 124087949473724 248175898947448 496351797894896