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5708619168 = 253729712511
BaseRepresentation
bin1010101000100001…
…01001110110100000
3112201211202220022120
411110100221312200
543142401303133
62342243304240
7261315314400
oct52420516640
915654686276
105708619168
11246a40408a
12113397b080
136cc8c8185
143c2240800
1523627cab3
hex154429da0

5708619168 has 144 divisors (see below), whose sum is σ = 17612792064. Its totient is φ = 1614090240.

The previous prime is 5708619149. The next prime is 5708619209. The reversal of 5708619168 is 8619168075.

It is a self number, because there is not a number n which added to its sum of digits gives 5708619168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450033 + ... + 462543.

It is an arithmetic number, because the mean of its divisors is an integer number (122311056).

Almost surely, 25708619168 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 5708619168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806396032).

5708619168 is an abundant number, since it is smaller than the sum of its proper divisors (11904172896).

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

5708619168 is a wasteful number, since it uses less digits than its factorization.

5708619168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12635 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 5708619168 is about 75555.4046246859. The cubic root of 5708619168 is about 1787.2159177405.

The spelling of 5708619168 in words is "five billion, seven hundred eight million, six hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 97 98 112 147 168 194 196 224 291 294 336 388 392 582 588 672 679 776 784 1164 1176 1358 1552 1568 2037 2328 2352 2716 3104 4074 4656 4704 4753 5432 8148 9312 9506 10864 12511 14259 16296 19012 21728 25022 28518 32592 37533 38024 50044 57036 65184 75066 76048 87577 100088 114072 150132 152096 175154 200176 228144 262731 300264 350308 400352 456288 525462 600528 613039 700616 1050924 1201056 1213567 1226078 1401232 1839117 2101848 2427134 2452156 2802464 3640701 3678234 4203696 4854268 4904312 7281402 7356468 8407392 8494969 9708536 9808624 14562804 14712936 16989938 19417072 19617248 25484907 29125608 29425872 33979876 38834144 50969814 58251216 58851744 59464783 67959752 101939628 116502432 118929566 135919504 178394349 203879256 237859132 271839008 356788698 407758512 475718264 713577396 815517024 951436528 1427154792 1902873056 2854309584 5708619168