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10520253344 = 251728168821
BaseRepresentation
bin10011100110000111…
…00101001110100000
31000011011201020112202
421303003211032200
5133021141101334
64455525312332
7521462451356
oct116303451640
930134636482
1010520253344
114509455057
1220572656a8
13cb87140a3
1471b2ab7d6
154188c717e
hex2730e53a0

10520253344 has 48 divisors (see below), whose sum is σ = 22008449736. Its totient is φ = 4933017600.

The previous prime is 10520253283. The next prime is 10520253377. The reversal of 10520253344 is 44335202501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7691290000 + 2828963344 = 87700^2 + 53188^2 .

It is a super-2 number, since 2×105202533442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118454 + ... + 187274.

Almost surely, 210520253344 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 10520253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004224868).

10520253344 is an abundant number, since it is smaller than the sum of its proper divisors (11488196392).

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

10520253344 is a wasteful number, since it uses less digits than its factorization.

10520253344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69129 (or 69121 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 10520253344 its reverse (44335202501), we get a palindrome (54855455845).

The spelling of 10520253344 in words is "ten billion, five hundred twenty million, two hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 281 544 562 1124 2248 4496 4777 8992 9554 19108 38216 68821 76432 137642 152864 275284 550568 1101136 1169957 2202272 2339914 4679828 9359656 18719312 19338701 37438624 38677402 77354804 154709608 309419216 328757917 618838432 657515834 1315031668 2630063336 5260126672 10520253344