Search a number
-
+
5008897664 = 273111311171
BaseRepresentation
bin1001010101000110…
…11011011010000000
3110221002010100212022
410222203123122000
540224234211124
62145010021012
7235060633121
oct45243333200
913832110768
105008897664
112140434a51
12b79577768
1361a955794
1435733a048
151e4b12c5e
hex12a8db680

5008897664 has 64 divisors (see below), whose sum is σ = 10392641280. Its totient is φ = 2401996800.

The previous prime is 5008897643. The next prime is 5008897679. The reversal of 5008897664 is 4667988005.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442799 + ... + 453969.

It is an arithmetic number, because the mean of its divisors is an integer number (162385020).

Almost surely, 25008897664 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 5008897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196320640).

5008897664 is an abundant number, since it is smaller than the sum of its proper divisors (5383743616).

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

5008897664 is a wasteful number, since it uses less digits than its factorization.

5008897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11329 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The square root of 5008897664 is about 70773.5661387781. The cubic root of 5008897664 is about 1710.9896650274.

The spelling of 5008897664 in words is "five billion, eight million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 113 124 128 226 248 452 496 904 992 1808 1984 3503 3616 3968 7006 7232 11171 14012 14464 22342 28024 44684 56048 89368 112096 178736 224192 346301 357472 448384 692602 714944 1262323 1385204 1429888 2524646 2770408 5049292 5540816 10098584 11081632 20197168 22163264 39132013 40394336 44326528 78264026 80788672 156528052 161577344 313056104 626112208 1252224416 2504448832 5008897664