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5716616672 = 251359892617
BaseRepresentation
bin1010101001011110…
…01010010111100000
3112202101211012211102
411110233022113200
543201423213142
62343130533532
7261443303624
oct52457122740
915671735742
105716616672
112473976798
1211365972a8
13701468420
143c3323184
15236d0c532
hex154bca5e0

5716616672 has 96 divisors (see below), whose sum is σ = 12469010400. Its totient is φ = 2563596288.

The previous prime is 5716616669. The next prime is 5716616681. The reversal of 5716616672 is 2766166175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2183108 + ... + 2185724.

It is an arithmetic number, because the mean of its divisors is an integer number (129885525).

Almost surely, 25716616672 is an apocalyptic number.

5716616672 is a gapful number since it is divisible by the number (52) 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 5716616672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234505200).

5716616672 is an abundant number, since it is smaller than the sum of its proper divisors (6752393728).

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

5716616672 is a wasteful number, since it uses less digits than its factorization.

5716616672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2780 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 5716616672 is about 75608.3108659359. The cubic root of 5716616672 is about 1788.0501298031.

The spelling of 5716616672 in words is "five billion, seven hundred sixteen million, six hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 59 89 104 118 178 208 236 356 416 472 712 767 944 1157 1424 1534 1888 2314 2617 2848 3068 4628 5234 5251 6136 9256 10468 10502 12272 18512 20936 21004 24544 34021 37024 41872 42008 68042 68263 83744 84016 136084 136526 154403 168032 232913 272168 273052 308806 465826 544336 546104 617612 931652 1088672 1092208 1235224 1863304 2007239 2184416 2470448 3027869 3726608 4014478 4940896 6055738 7453216 8028956 12111476 13741867 16057912 24222952 27483734 32115824 48445904 54967468 64231648 96891808 109934936 178644271 219869872 357288542 439739744 714577084 1429154168 2858308336 5716616672