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26804400016812 = 223111576112883931
BaseRepresentation
bin1100001100000111000101…
…01111011100110110101100
310111220110211201112210220020
412012003202233130312230
512003130402401014222
6133001434341122140
75434361006613345
oct606034257346654
9114813751483806
1026804400016812
1185a4756024a10
12300aa573b9350
1311c584b05aa32
146894a88d30cc
1531739d54e65c
hex1860e2bdcdac

26804400016812 has 48 divisors (see below), whose sum is σ = 68233716157824. Its totient is φ = 8122029472000.

The previous prime is 26804400016783. The next prime is 26804400016817. The reversal of 26804400016812 is 21861000440862.

It is a super-2 number, since 2×268044000168122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26804400016817) 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 15 ways as a sum of consecutive naturals, for example, 4361514 + ... + 8522417.

It is an arithmetic number, because the mean of its divisors is an integer number (1421535753288).

Almost surely, 226804400016812 is an apocalyptic number.

26804400016812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

26804400016812 is an abundant number, since it is smaller than the sum of its proper divisors (41429316141012).

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

26804400016812 is a wasteful number, since it uses less digits than its factorization.

26804400016812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899710 (or 12899708 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 26804400016812 in words is "twenty-six trillion, eight hundred four billion, four hundred million, sixteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 15761 31522 47283 63044 94566 173371 189132 346742 520113 693484 1040226 2080452 12883931 25767862 38651793 51535724 77303586 141723241 154607172 283446482 425169723 566892964 850339446 1700678892 203063636491 406127272982 609190909473 812254545964 1218381818946 2233700001401 2436763637892 4467400002802 6701100004203 8934800005604 13402200008406 26804400016812