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54640601631 = 32721111263781
BaseRepresentation
bin110010111000110101…
…010110101000011111
312020000222221011022100
4302320311112220133
51343400443223011
641033533420143
73643021310400
oct627065265037
9166028834270
1054640601631
112119a216810
12a70b03a653
1351ca304655
142904b999a7
15164bea7d56
hexcb8d56a1f

54640601631 has 36 divisors (see below), whose sum is σ = 100157549544. Its totient is φ = 28384725600.

The previous prime is 54640601579. The next prime is 54640601651. The reversal of 54640601631 is 13610604645.

It is a happy number.

54640601631 is a `hidden beast` number, since 5 + 4 + 6 + 40 + 601 + 6 + 3 + 1 = 666.

It is not a de Polignac number, because 54640601631 - 214 = 54640585247 is a prime.

It is a super-2 number, since 2×546406016312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54640601651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5627040 + ... + 5636741.

It is an arithmetic number, because the mean of its divisors is an integer number (2782154154).

Almost surely, 254640601631 is an apocalyptic number.

54640601631 is a deficient number, since it is larger than the sum of its proper divisors (45516947913).

54640601631 is a wasteful number, since it uses less digits than its factorization.

54640601631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11263812 (or 11263802 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 54640601631 in words is "fifty-four billion, six hundred forty million, six hundred one thousand, six hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 11263781 33791343 78846467 101374029 123901591 236539401 371704773 551925269 709618203 867311137 1115114319 1655775807 2601933411 4967327421 6071177959 7805800233 18213533877 54640601631