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5079697984 = 265921512
BaseRepresentation
bin1001011101100011…
…00000101001000000
3111010000100101122101
410232301200221000
540400400313414
62200015320144
7236610502054
oct45661405100
914100311571
105079697984
1121773a2309
12b99220054
1362c51466a
143628c9c64
151eae4aa74
hex12ec60a40

5079697984 has 63 divisors (see below), whose sum is σ = 10322124771. Its totient is φ = 2480265600.

The previous prime is 5079697981. The next prime is 5079697999. The reversal of 5079697984 is 4897969705.

The square root of 5079697984 is 71272.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5079697981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33640309 + ... + 33640459.

Almost surely, 25079697984 is an apocalyptic number.

5079697984 is the 71272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5079697984

5079697984 is an abundant number, since it is smaller than the sum of its proper divisors (5242426787).

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

5079697984 is an frugal number, since it uses more digits than its factorization.

5079697984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

The cubic root of 5079697984 is about 1719.0135392712.

Multiplying 5079697984 by its sum of digits (64), we get a square (325100670976 = 5701762).

5079697984 divided by its sum of digits (64) gives a square (79370281 = 89092).

The spelling of 5079697984 in words is "five billion, seventy-nine million, six hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 59 64 118 151 236 302 472 604 944 1208 1888 2416 3481 3776 4832 6962 8909 9664 13924 17818 22801 27848 35636 45602 55696 71272 91204 111392 142544 182408 222784 285088 364816 525631 570176 729632 1051262 1345259 1459264 2102524 2690518 4205048 5381036 8410096 10762072 16820192 21524144 33640384 43048288 79370281 86096576 158740562 317481124 634962248 1269924496 2539848992 5079697984