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10538426624 = 28117152709
BaseRepresentation
bin10011101000010001…
…11010000100000000
31000012102220112121012
421310020322010000
5133040314122444
64501415020052
7522103101605
oct116410720400
930172815535
1010538426624
1145187379a0
12206136a628
13cbc407bcb
1471d87c6ac
1541a2b6b9e
hex27423a100

10538426624 has 72 divisors (see below), whose sum is σ = 23271675840. Its totient is φ = 4722636800.

The previous prime is 10538426573. The next prime is 10538426629. The reversal of 10538426624 is 42662483501.

It is a super-2 number, since 2×105384266242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10538426629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173582 + ... + 226290.

It is an arithmetic number, because the mean of its divisors is an integer number (323217720).

Almost surely, 210538426624 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 10538426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635837920).

10538426624 is an abundant number, since it is smaller than the sum of its proper divisors (12733249216).

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

10538426624 is an equidigital number, since it uses as much as digits as its factorization.

10538426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52807 (or 52793 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 10538426624 in words is "ten billion, five hundred thirty-eight million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 352 568 704 781 1136 1408 1562 2272 2816 3124 4544 6248 9088 12496 18176 24992 49984 52709 99968 105418 199936 210836 421672 579799 843344 1159598 1686688 2319196 3373376 3742339 4638392 6746752 7484678 9276784 13493504 14969356 18553568 29938712 37107136 41165729 59877424 74214272 82331458 119754848 148428544 164662916 239509696 329325832 479019392 658651664 958038784 1317303328 2634606656 5269213312 10538426624