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5078499264 = 263210518389
BaseRepresentation
bin1001011101011001…
…11011111111000000
3111002221002111022100
410232230323333000
540400043434024
62155533510400
7236564350206
oct45654737700
914087074270
105078499264
112176753733
12b98942400
1362c1b4b67
14362697076
151eacb07c9
hex12eb3bfc0

5078499264 has 84 divisors (see below), whose sum is σ = 14572188280. Its totient is φ = 1691020800.

The previous prime is 5078499263. The next prime is 5078499313. The reversal of 5078499264 is 4629948705.

5078499264 is a `hidden beast` number, since 507 + 8 + 49 + 92 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5078499264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5078499263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601182 + ... + 609570.

Almost surely, 25078499264 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 5078499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286094140).

5078499264 is an abundant number, since it is smaller than the sum of its proper divisors (9493689016).

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

5078499264 is a wasteful number, since it uses less digits than its factorization.

5078499264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5078499264 is about 71263.5900302532. The cubic root of 5078499264 is about 1718.8783095766.

The spelling of 5078499264 in words is "five billion, seventy-eight million, four hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1051 2102 3153 4204 6306 8389 8408 9459 12612 16778 16816 18918 25167 25224 33556 33632 37836 50334 50448 67112 67264 75501 75672 100668 100896 134224 151002 151344 201336 201792 268448 302004 302688 402672 536896 604008 605376 805344 1208016 1610688 2416032 4832064 8816839 17633678 26450517 35267356 52901034 70534712 79351551 105802068 141069424 158703102 211604136 282138848 317406204 423208272 564277696 634812408 846416544 1269624816 1692833088 2539249632 5078499264