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10053163136 = 27476072753
BaseRepresentation
bin10010101110011011…
…10001100010000000
3221221121210121020102
421113031301202000
5131042102210021
64341322101532
7504061322342
oct112715614200
927847717212
1010053163136
114299826295
121b4694a8a8
13c42a12553
146b5241292
153dc8b000b
hex257371880

10053163136 has 64 divisors (see below), whose sum is σ = 20495047680. Its totient is φ = 4909744128.

The previous prime is 10053163117. The next prime is 10053163139. The reversal of 10053163136 is 63136135001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10053163099 and 10053163108.

It is not an unprimeable number, because it can be changed into a prime (10053163139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3650336 + ... + 3653088.

It is an arithmetic number, because the mean of its divisors is an integer number (320235120).

Almost surely, 210053163136 is an apocalyptic number.

10053163136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10247523840).

10053163136 is an abundant number, since it is smaller than the sum of its proper divisors (10441884544).

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

10053163136 is an equidigital number, since it uses as much as digits as its factorization.

10053163136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

Adding to 10053163136 its reverse (63136135001), we get a palindrome (73189298137).

The spelling of 10053163136 in words is "ten billion, fifty-three million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 607 752 1214 1504 2428 2753 3008 4856 5506 6016 9712 11012 19424 22024 28529 38848 44048 57058 77696 88096 114116 129391 176192 228232 258782 352384 456464 517564 912928 1035128 1671071 1825856 2070256 3342142 3651712 4140512 6684284 8281024 13368568 16562048 26737136 53474272 78540337 106948544 157080674 213897088 314161348 628322696 1256645392 2513290784 5026581568 10053163136