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252892912602 = 231173100952021
BaseRepresentation
bin1110101110000110010…
…1111001101111011010
3220011202112122001011110
43223201211321233122
513120411041200402
6312102152441150
724161631201201
oct3534145715732
9804675561143
10252892912602
1198284502310
12410193a91b6
131ab0351a9b5
14c350b00238
1568a1ca856c
hex3ae1979bda

252892912602 has 64 divisors (see below), whose sum is σ = 559889896320. Its totient is φ = 75508070400.

The previous prime is 252892912553. The next prime is 252892912603. The reversal of 252892912602 is 206219298252.

It is not an unprimeable number, because it can be changed into a prime (252892912603) by changing a digit.

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, 4835352 + ... + 4887372.

It is an arithmetic number, because the mean of its divisors is an integer number (8748279630).

Almost surely, 2252892912602 is an apocalyptic number.

252892912602 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 252892912602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279944948160).

252892912602 is an abundant number, since it is smaller than the sum of its proper divisors (306996983718).

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

252892912602 is a wasteful number, since it uses less digits than its factorization.

252892912602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53119.

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 252892912602 in words is "two hundred fifty-two billion, eight hundred ninety-two million, nine hundred twelve thousand, six hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1009 1606 2018 2409 3027 4818 6054 11099 22198 33297 52021 66594 73657 104042 147314 156063 220971 312126 441942 572231 810227 1144462 1620454 1716693 2430681 3433386 3797533 4861362 7595066 11392599 22785198 41772863 52489189 83545726 104978378 125318589 157467567 250637178 314935134 577381079 1154762158 1732143237 3464286474 3831710797 7663421594 11495132391 22990264782 42148818767 84297637534 126446456301 252892912602