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5076727968 = 2531337109943
BaseRepresentation
bin1001011101001100…
…01011100010100000
3111002210202111112210
410232212023202200
540344120243333
62155431522120
7236543322114
oct45646134240
914083674483
105076727968
112175753954
12b98229340
1362ba14860
14362355744
151eaa60a63
hex12e98b8a0

5076727968 has 96 divisors (see below), whose sum is σ = 14739532416. Its totient is φ = 1519838208.

The previous prime is 5076727967. The next prime is 5076728017. The reversal of 5076727968 is 8697276705.

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

It is a super-2 number, since 2×50767279682 = 51546333722146818048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5076727967) 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, 8796 + ... + 101147.

It is an arithmetic number, because the mean of its divisors is an integer number (153536796).

Almost surely, 25076727968 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 5076727968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369766208).

5076727968 is an abundant number, since it is smaller than the sum of its proper divisors (9662804448).

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

5076727968 is a wasteful number, since it uses less digits than its factorization.

5076727968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110006 (or 109998 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The square root of 5076727968 is about 71251.1611694855. The cubic root of 5076727968 is about 1718.6784476254.

The spelling of 5076727968 in words is "five billion, seventy-six million, seven hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 592 624 888 962 1184 1248 1443 1776 1924 2886 3552 3848 5772 7696 11544 15392 23088 46176 109943 219886 329829 439772 659658 879544 1319316 1429259 1759088 2638632 2858518 3518176 4067891 4287777 5277264 5717036 8135782 8575554 10554528 11434072 12203673 16271564 17151108 22868144 24407346 32543128 34302216 45736288 48814692 52882583 65086256 68604432 97629384 105765166 130172512 137208864 158647749 195258768 211530332 317295498 390517536 423060664 634590996 846121328 1269181992 1692242656 2538363984 5076727968