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5153967392 = 2576372
BaseRepresentation
bin1001100110011001…
…10100110100100000
3111022012002200010012
410303030310310200
541023403424032
62211231224052
7241502000000
oct46314646440
914265080105
105153967392
112205309a92
12bba078028
13641a19562
1436c700000
1520271b6b2
hex133334d20

5153967392 has 126 divisors (see below), whose sum is σ = 12166597737. Its totient is φ = 2149144704.

The previous prime is 5153967383. The next prime is 5153967431. The reversal of 5153967392 is 2937693515.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4158186256 + 995781136 = 64484^2 + 31556^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=50764.

Its product of digits (1530900) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 5153967392.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 139296398 + ... + 139296434.

Almost surely, 25153967392 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 5153967392

5153967392 is an abundant number, since it is smaller than the sum of its proper divisors (7012630345).

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

5153967392 is an frugal number, since it uses more digits than its factorization.

5153967392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 46 counting only the distinct ones).

The product of its digits is 1530900, while the sum is 50.

The square root of 5153967392 is about 71791.1372803078. The cubic root of 5153967392 is about 1727.3508399789.

Multiplying 5153967392 by its sum of digits (50), we get a square (257698369600 = 5076402).

The spelling of 5153967392 in words is "five billion, one hundred fifty-three million, nine hundred sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 343 392 518 592 686 784 1036 1184 1369 1372 1568 1813 2072 2401 2738 2744 3626 4144 4802 5476 5488 7252 8288 9583 9604 10952 10976 12691 14504 16807 19166 19208 21904 25382 29008 33614 38332 38416 43808 50764 58016 67081 67228 76664 76832 88837 101528 117649 134162 134456 153328 177674 203056 235298 268324 268912 306656 355348 406112 469567 470596 536648 537824 621859 710696 939134 941192 1073296 1243718 1421392 1878268 1882384 2146592 2487436 2842784 3286969 3756536 3764768 4353013 4974872 6573938 7513072 8706026 9949744 13147876 15026144 17412052 19899488 23008783 26295752 34824104 46017566 52591504 69648208 92035132 105183008 139296416 161061481 184070264 322122962 368140528 644245924 736281056 1288491848 2576983696 5153967392