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538497794835 = 32572111337101457
BaseRepresentation
bin1111101011000001111…
…10000100001100010011
31220110221211121022122200
413311200332010030103
532310320413413320
61051214340334243
753622322506300
oct7654076041423
91813854538580
10538497794835
11198414a6a570
12884459a4383
133ba1ac18430
141c0c60b60a7
15e01a7d7290
hex7d60f84313

538497794835 has 576 divisors, whose sum is σ = 1325952561024. Its totient is φ = 198567936000.

The previous prime is 538497794827. The next prime is 538497794881.

538497794835 is a `hidden beast` number, since 5 + 38 + 49 + 7 + 79 + 483 + 5 = 666.

538497794835 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 538497794835 - 23 = 538497794827 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1178331927 + ... + 1178332383.

It is an arithmetic number, because the mean of its divisors is an integer number (2302000974).

Almost surely, 2538497794835 is an apocalyptic number.

538497794835 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

538497794835 is an abundant number, since it is smaller than the sum of its proper divisors (787454766189).

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

538497794835 is a wasteful number, since it uses less digits than its factorization.

538497794835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 538497794835 in words is "five hundred thirty-eight billion, four hundred ninety-seven million, seven hundred ninety-four thousand, eight hundred thirty-five".