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152281352192 = 21186232
BaseRepresentation
bin1000110111010010101…
…1010000100000000000
3112120001202020012202012
42031310223100200000
54443333011232232
6153542421512052
714000450064554
oct2156453204000
9476052205665
10152281352192
1159644942892
122561a872628
131148b0c57b8
147528767864
153e6401a9b2
hex2374ad0800

152281352192 has 36 divisors (see below), whose sum is σ = 304523663535. Its totient is φ = 76131846144.

The previous prime is 152281352137. The next prime is 152281352207. The reversal of 152281352192 is 291253182251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 76140676096 + 76140676096 = 275936^2 + 275936^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=275936.

It is a super-2 number, since 2×1522813521922 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17655593 + ... + 17664215.

Almost surely, 2152281352192 is an apocalyptic number.

It is an amenable number.

152281352192 is a deficient number, since it is larger than the sum of its proper divisors (152242311343).

152281352192 is an frugal number, since it uses more digits than its factorization.

152281352192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268 (or 8625 counting only the distinct ones).

The product of its digits is 86400, while the sum is 41.

The spelling of 152281352192 in words is "one hundred fifty-two billion, two hundred eighty-one million, three hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 8623 17246 34492 68984 137968 275936 551872 1103744 2207488 4414976 8829952 17659904 74356129 148712258 297424516 594849032 1189698064 2379396128 4758792256 9517584512 19035169024 38070338048 76140676096 152281352192