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252544553052 = 223112333820067
BaseRepresentation
bin1110101100110011010…
…1000001000001011100
3220010212021010112200220
43223030311001001130
513114202401144202
6312003430121340
724150201165531
oct3531465010134
9803767115626
10252544553052
11981158a8660
1240b407b0250
131aa792ba39c
14c31a73cd88
1568813e5abc
hex3accd4105c

252544553052 has 48 divisors (see below), whose sum is σ = 643117007232. Its totient is φ = 76495756480.

The previous prime is 252544553003. The next prime is 252544553059. The reversal of 252544553052 is 250355445252.

It is a super-3 number, since 3×2525445530523 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252544552995 and 252544553013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252544553059) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 102078 + ... + 717989.

It is an arithmetic number, because the mean of its divisors is an integer number (13398270984).

Almost surely, 2252544553052 is an apocalyptic number.

252544553052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252544553052 is an abundant number, since it is smaller than the sum of its proper divisors (390572454180).

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

252544553052 is a wasteful number, since it uses less digits than its factorization.

252544553052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822418 (or 822416 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 42.

The spelling of 252544553052 in words is "two hundred fifty-two billion, five hundred forty-four million, five hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2333 4666 6999 9332 13998 25663 27996 51326 76989 102652 153978 307956 820067 1640134 2460201 3280268 4920402 9020737 9840804 18041474 27062211 36082948 54124422 108248844 1913216311 3826432622 5739648933 7652865244 11479297866 21045379421 22958595732 42090758842 63136138263 84181517684 126272276526 252544553052