Search a number
-
+
5007910960 = 245137365963
BaseRepresentation
bin1001010100111111…
…01010100000110000
3110221000021020100201
410222133222200300
540224011122320
62144532524544
7235046353333
oct45237524060
913830236321
105007910960
11213a920698
12b79180754
1361a69b630
1435716061a
151e49ba70a
hex12a7ea830

5007910960 has 80 divisors (see below), whose sum is σ = 12710998944. Its totient is φ = 1823717376.

The previous prime is 5007910937. The next prime is 5007910969. The reversal of 5007910960 is 690197005.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5007910969) 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, 42939 + ... + 108901.

Almost surely, 25007910960 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 5007910960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355499472).

5007910960 is an abundant number, since it is smaller than the sum of its proper divisors (7703087984).

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

5007910960 is a wasteful number, since it uses less digits than its factorization.

5007910960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66062 (or 66056 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 5007910960 is about 70766.5949442249. The cubic root of 5007910960 is about 1710.8773082224.

The spelling of 5007910960 in words is "five billion, seven million, nine hundred ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 949 1040 1168 1460 1898 2920 3796 4745 5840 7592 9490 15184 18980 37960 65963 75920 131926 263852 329815 527704 659630 857519 1055408 1319260 1715038 2638520 3430076 4287595 4815299 5277040 6860152 8575190 9630598 13720304 17150380 19261196 24076495 34300760 38522392 48152990 62598887 68601520 77044784 96305980 125197774 192611960 250395548 312994435 385223920 500791096 625988870 1001582192 1251977740 2503955480 5007910960