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537131038080 = 27357213312457
BaseRepresentation
bin1111101000011111000…
…00010011010110000000
31220100102120210212212010
413310033200103112000
532300021021204310
61050430554132520
753543415330600
oct7641740232600
91810376725763
10537131038080
11197883516a2a
1288124121140
133b860a08c20
141bdd6778c00
15de8a80c320
hex7d0f813580

537131038080 has 1152 divisors, whose sum is σ = 2221104745440. Its totient is φ = 109432995840.

The previous prime is 537131038063. The next prime is 537131038091. The reversal of 537131038080 is 80830131735.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1175341212 + ... + 1175341668.

Almost surely, 2537131038080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537131038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110552372720).

537131038080 is an abundant number, since it is smaller than the sum of its proper divisors (1683973707360).

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

537131038080 is a wasteful number, since it uses less digits than its factorization.

537131038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 537131038080 in words is "five hundred thirty-seven billion, one hundred thirty-one million, thirty-eight thousand, eighty".