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10053116832 = 2531138924473
BaseRepresentation
bin10010101110011011…
…00110001110100000
3221221121201020201110
421113031212032200
5131042044214312
64341321103320
7504061040343
oct112715461640
927847636643
1010053116832
1142997a4520
121b46927b40
13c429c7455
146b522c45a
153dc8a143c
hex2573663a0

10053116832 has 96 divisors (see below), whose sum is σ = 28863656640. Its totient is φ = 3038443520.

The previous prime is 10053116819. The next prime is 10053116833. The reversal of 10053116832 is 23861135001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10053116832.

It is not an unprimeable number, because it can be changed into a prime (10053116833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398548 + ... + 423020.

It is an arithmetic number, because the mean of its divisors is an integer number (300663090).

Almost surely, 210053116832 is an apocalyptic number.

10053116832 is a gapful number since it is divisible by the number (12) 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 10053116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431828320).

10053116832 is an abundant number, since it is smaller than the sum of its proper divisors (18810539808).

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

10053116832 is a wasteful number, since it uses less digits than its factorization.

10053116832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24886 (or 24878 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10053116832 in words is "ten billion, fifty-three million, one hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 389 528 778 1056 1167 1556 2334 3112 4279 4668 6224 8558 9336 12448 12837 17116 18672 24473 25674 34232 37344 48946 51348 68464 73419 97892 102696 136928 146838 195784 205392 269203 293676 391568 410784 538406 587352 783136 807609 1076812 1174704 1615218 2153624 2349408 3230436 4307248 6460872 8614496 9519997 12921744 19039994 25843488 28559991 38079988 57119982 76159976 104719967 114239964 152319952 209439934 228479928 304639904 314159901 418879868 456959856 628319802 837759736 913919712 1256639604 1675519472 2513279208 3351038944 5026558416 10053116832