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252639936252 = 223311212659879
BaseRepresentation
bin1110101101001010000…
…0110111111011111100
3220011002220121111212000
43223102200313323330
513114401310430002
6312021114342300
724152440011624
oct3532240677374
9804086544760
10252639936252
1198164726450
1240b6872a990
131aa92ca5652
14c32928b884
15688998761c
hex3ad2837efc

252639936252 has 48 divisors (see below), whose sum is σ = 714537196800. Its totient is φ = 76557556080.

The previous prime is 252639936233. The next prime is 252639936259.

252639936252 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 3 + 9 + 9 + 3 + 625 + 2 = 666.

252639936252 is nontrivially palindromic in base 10.

252639936252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2526399362524 (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252639936259) 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 15 ways as a sum of consecutive naturals, for example, 106328752 + ... + 106331127.

It is an arithmetic number, because the mean of its divisors is an integer number (14886191600).

Almost surely, 2252639936252 is an apocalyptic number.

252639936252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252639936252 is an abundant number, since it is smaller than the sum of its proper divisors (461897260548).

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

252639936252 is a wasteful number, since it uses less digits than its factorization.

252639936252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212659903 (or 212659895 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 252639936252 in words is "two hundred fifty-two billion, six hundred thirty-nine million, nine hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 212659879 425319758 637979637 850639516 1275959274 1913938911 2339258669 2551918548 3827877822 4678517338 5741816733 7017776007 7655755644 9357034676 11483633466 14035552014 21053328021 22967266932 28071104028 42106656042 63159984063 84213312084 126319968126 252639936252