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11612415520431 = 32111103106343723
BaseRepresentation
bin1010100011111011100111…
…1001101110111010101111
31112010010200012111112000200
42220332321321232322233
53010224211333123211
640410400421324543
72305653324211035
oct250767171567257
945103605445020
1011612415520431
11377788590a7a0
121376692566753
1366307a32cb4b
142c20886bc555
151520eb4c4b56
hexa8fb9e6eeaf

11612415520431 has 24 divisors (see below), whose sum is σ = 18314941522176. Its totient is φ = 7031446898640.

The previous prime is 11612415520421. The next prime is 11612415520441. The reversal of 11612415520431 is 13402551421611.

11612415520431 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 2 + 415 + 5 + 204 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (11612415520421) and next prime (11612415520441).

It is not a de Polignac number, because 11612415520431 - 213 = 11612415512239 is a prime.

It is a super-2 number, since 2×116124155204312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11612415520421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53062665 + ... + 53281058.

It is an arithmetic number, because the mean of its divisors is an integer number (763122563424).

Almost surely, 211612415520431 is an apocalyptic number.

11612415520431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11612415520431 is a deficient number, since it is larger than the sum of its proper divisors (6702526001745).

11612415520431 is a wasteful number, since it uses less digits than its factorization.

11612415520431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106344843 (or 106344840 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11612415520431 in words is "eleven trillion, six hundred twelve billion, four hundred fifteen million, five hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 1103 3309 9927 12133 36399 109197 106343723 319031169 957093507 1169780953 3509342859 10528028577 117297126469 351891379407 1055674138221 1290268391159 3870805173477 11612415520431