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87054076044 = 22321321923137239
BaseRepresentation
bin101000100010011010…
…0111100100010001100
322022200221121021011200
41101010310330202030
52411241320413134
6103554142545500
76201165302655
oct1210464744214
9268627537150
1087054076044
1133a128358a1
1214a56298290
1382946c2500
1442db97052c
1523e791a499
hex1444d3c88c

87054076044 has 432 divisors, whose sum is σ = 264742732800. Its totient is φ = 23994786816.

The previous prime is 87054076019. The next prime is 87054076049. The reversal of 87054076044 is 44067045078.

87054076044 is a `hidden beast` number, since 8 + 7 + 0 + 540 + 7 + 60 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (87054076049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 364242877 + ... + 364243115.

It is an arithmetic number, because the mean of its divisors is an integer number (612830400).

Almost surely, 287054076044 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 87054076044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132371366400).

87054076044 is an abundant number, since it is smaller than the sum of its proper divisors (177688656756).

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

87054076044 is a wasteful number, since it uses less digits than its factorization.

87054076044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 87054076044 in words is "eighty-seven billion, fifty-four million, seventy-six thousand, forty-four".