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87458000725315 = 51120036779117109
BaseRepresentation
bin10011111000101011100111…
…000100001110010101000011
3102110122220101102222111110201
4103320223213010032111003
542430402441141202230
6510001352331110031
724264426534245233
oct2370534704162503
9373586342874421
1087458000725315
1125959803425210
129985b435a2317
1339a533c2a3b8c
141784dc00d5cc3
15a19eb39b65ca
hex4f8ae710e543

87458000725315 has 32 divisors (see below), whose sum is σ = 114565508870400. Its totient is φ = 63564142561920.

The previous prime is 87458000725301. The next prime is 87458000725391. The reversal of 87458000725315 is 51352700085478.

It is a happy number.

It is not a de Polignac number, because 87458000725315 - 25 = 87458000725283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746749981 + ... + 746867089.

It is an arithmetic number, because the mean of its divisors is an integer number (3580172152200).

Almost surely, 287458000725315 is an apocalyptic number.

87458000725315 is a deficient number, since it is larger than the sum of its proper divisors (27107508145085).

87458000725315 is a wasteful number, since it uses less digits than its factorization.

87458000725315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125907.

The product of its (nonzero) digits is 9408000, while the sum is 55.

The spelling of 87458000725315 in words is "eighty-seven trillion, four hundred fifty-eight billion, seven hundred twenty-five thousand, three hundred fifteen".

Divisors: 1 5 11 55 2003 6779 10015 22033 33895 74569 110165 117109 372845 585545 1288199 6440995 13578337 67891685 149361707 234569327 746808535 793881911 1172846635 2580262597 3969409555 8732701021 12901312985 43663505105 1590145467733 7950727338665 17491600145063 87458000725315