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81294754104 = 23321129093807
BaseRepresentation
bin100101110110110001…
…0111000000100111000
321202211120102101201200
41023231202320010320
52312442424112404
6101202444414200
75605363002624
oct1135542700470
9252746371650
1081294754104
1131527850aa3
1213909547360
1378874540c5
143d12ad2184
1521abec4839
hex12ed8b8138

81294754104 has 24 divisors (see below), whose sum is σ = 220173292560. Its totient is φ = 27098251344.

The previous prime is 81294754091. The next prime is 81294754133. The reversal of 81294754104 is 40145749218.

81294754104 is a `hidden beast` number, since 8 + 12 + 94 + 7 + 541 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 81294754104.

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 5 ways as a sum of consecutive naturals, for example, 564546832 + ... + 564546975.

It is an arithmetic number, because the mean of its divisors is an integer number (9173887190).

Almost surely, 281294754104 is an apocalyptic number.

It is an amenable number.

81294754104 is an abundant number, since it is smaller than the sum of its proper divisors (138878538456).

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

81294754104 is a wasteful number, since it uses less digits than its factorization.

81294754104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129093819 (or 1129093812 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 81294754104 in words is "eighty-one billion, two hundred ninety-four million, seven hundred fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1129093807 2258187614 3387281421 4516375228 6774562842 9032750456 10161844263 13549125684 20323688526 27098251368 40647377052 81294754104