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102552412423232 = 26101128912308117
BaseRepresentation
bin10111010100010101011000…
…000111010000010001000000
3111110002220200221121001122202
4113110111120013100101000
5101420204320040020412
61002035532231052332
730413111244600422
oct2724253007202100
9443086627531582
10102552412423232
112a749263305812
12b6034175110a8
13452b860313265
141b477c578a812
15bcc9549523c2
hex5d45581d0440

102552412423232 has 56 divisors (see below), whose sum is σ = 205676775137880. Its totient is φ = 50729130905600.

The previous prime is 102552412423189. The next prime is 102552412423283. The reversal of 102552412423232 is 232324214255201.

It can be written as a sum of positive squares in 4 ways, for example, as 73018665649216 + 29533746774016 = 8545096^2 + 5434496^2 .

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 7 ways as a sum of consecutive naturals, for example, 2178038 + ... + 14486154.

Almost surely, 2102552412423232 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 102552412423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102838387568940).

102552412423232 is an abundant number, since it is smaller than the sum of its proper divisors (103124362714648).

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

102552412423232 is a wasteful number, since it uses less digits than its factorization.

102552412423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309519 (or 12309509 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 102552412423232 its reverse (232324214255201), we get a palindrome (334876626678433).

The spelling of 102552412423232 in words is "one hundred two trillion, five hundred fifty-two billion, four hundred twelve million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1289 1616 2578 3232 5156 6464 10312 20624 41248 82496 130189 260378 520756 1041512 2083024 4166048 8332096 12308117 24616234 49232468 98464936 196929872 393859744 787719488 1243119817 2486239634 4972479268 9944958536 15865162813 19889917072 31730325626 39779834144 63460651252 79559668288 126921302504 253842605008 507685210016 1015370420032 1602381444113 3204762888226 6409525776452 12819051552904 25638103105808 51276206211616 102552412423232