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87687586147225 = 52373250212
BaseRepresentation
bin10011111100000001011011…
…011011000110101110011001
3102111110211222122110100010011
4103330001123123012232121
542443133134023202400
6510255042043321521
724320135062161511
oct2374013333065631
9374424878410104
1087687586147225
1125a38107407819
129a025372202a1
1339c0b99b1125c
14179215d544841
15a20e4e4718ba
hex4fc05b6c6b99

87687586147225 has 27 divisors (see below), whose sum is σ = 109046614781559. Its totient is φ = 69948065150400.

The previous prime is 87687586147181. The next prime is 87687586147261. The reversal of 87687586147225 is 52274168578678.

The square root of 87687586147225 is 9364165.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 13933773443209 + 73753812704016 = 3732797^2 + 8588004^2 .

It is not a de Polignac number, because 87687586147225 - 213 = 87687586139033 is a prime.

It is a super-2 number, since 2×876875861472252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17464165215 + ... + 17464170235.

Almost surely, 287687586147225 is an apocalyptic number.

87687586147225 is the 9364165-th square number.

87687586147225 is the 4682083-rd centered octagonal number.

It is an amenable number.

87687586147225 is a deficient number, since it is larger than the sum of its proper divisors (21359028634334).

87687586147225 is an frugal number, since it uses more digits than its factorization.

87687586147225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10798 (or 5399 counting only the distinct ones).

The product of its digits is 2528870400, while the sum is 76.

The spelling of 87687586147225 in words is "eighty-seven trillion, six hundred eighty-seven billion, five hundred eighty-six million, one hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 373 1865 5021 9325 25105 125525 139129 695645 1872833 3478225 9364165 25210441 46820825 126052205 630261025 698566709 3492833545 9403494493 17464167725 47017472465 235087362325 3507503445889 17537517229445 87687586147225