Search a number
-
+
5036648064 = 27372267679
BaseRepresentation
bin1001011000011010…
…10010011010000000
3111000000100020020220
410230031102122000
540303340214224
62151440503040
7235545542100
oct45415223200
914000306226
105036648064
112155069268
12b8691aa80
13623620836
1435acc1200
151e7295279
hex12c352680

5036648064 has 96 divisors (see below), whose sum is σ = 15562915200. Its totient is φ = 1439036928.

The previous prime is 5036648063. The next prime is 5036648143. The reversal of 5036648064 is 4608466305.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5036648063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115024 + ... + 152655.

It is an arithmetic number, because the mean of its divisors is an integer number (162113700).

Almost surely, 25036648064 is an apocalyptic number.

It is an amenable number.

5036648064 is an abundant number, since it is smaller than the sum of its proper divisors (10526267136).

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

5036648064 is a wasteful number, since it uses less digits than its factorization.

5036648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267710 (or 267691 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 5036648064 is about 70969.3459459787. The cubic root of 5036648064 is about 1714.1436012986.

The spelling of 5036648064 in words is "five billion, thirty-six million, six hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 267679 535358 803037 1070716 1606074 1873753 2141432 3212148 3747506 4282864 5621259 6424296 7495012 8565728 11242518 12848592 13116271 14990024 17131456 22485036 25697184 26232542 29980048 34262912 39348813 44970072 51394368 52465084 59960096 78697626 89940144 102788736 104930168 119920192 157395252 179880288 209860336 239840384 314790504 359760576 419720672 629581008 719521152 839441344 1259162016 1678882688 2518324032 5036648064