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12803457364731 = 3211312499326953
BaseRepresentation
bin1011101001010000100110…
…0001110011001011111011
31200022222221221212011120200
42322110021201303023323
53134232440041132411
643121454353453243
72461006415642055
oct272241141631373
950288857764520
1012803457364731
114096a08995920
12152948bb71223
1371b48ca286b7
143239951a48d5
151730a99ebe56
hexba5098732fb

12803457364731 has 72 divisors (see below), whose sum is σ = 20851898818608. Its totient is φ = 7507576627200.

The previous prime is 12803457364723. The next prime is 12803457364741. The reversal of 12803457364731 is 13746375430821.

12803457364731 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 3 + 4 + 573 + 64 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 12803457364731 - 23 = 12803457364723 is a prime.

It is a super-2 number, since 2×128034573647312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12803457364741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 475015551 + ... + 475042503.

It is an arithmetic number, because the mean of its divisors is an integer number (289609705814).

Almost surely, 212803457364731 is an apocalyptic number.

12803457364731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12803457364731 is a deficient number, since it is larger than the sum of its proper divisors (8048441453877).

12803457364731 is a wasteful number, since it uses less digits than its factorization.

12803457364731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32025 (or 31991 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 12803457364731 in words is "twelve trillion, eight hundred three billion, four hundred fifty-seven million, three hundred sixty-four thousand, seven hundred thirty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 961 1023 2883 3069 4993 8649 10571 14979 26953 31713 44937 54923 80859 95139 154783 164769 242577 296483 464349 494307 835543 889449 1393047 1702613 2506629 2668347 4798273 5107839 7519887 9190973 14394819 15323517 25901833 27572919 43184457 52781003 77705499 82718757 134576329 158343009 233116497 284920163 403728987 475029027 854760489 1211186961 1480339619 2564281467 4171866199 4441018857 12515598597 13323056571 37546795791 45890528189 129327852169 137671584567 387983556507 413014753701 1163950669521 1422606373859 4267819121577 12803457364731