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5007982608 = 243219296337
BaseRepresentation
bin1001010100111111…
…11100000000010000
3110221000101212122100
410222133330000100
540224020420413
62144534240400
7235050102246
oct45237740020
913830355570
105007982608
11213a96a502
12b791b6100
1361a6c5125
1435717c796
151e49d1a73
hex12a7fc010

5007982608 has 90 divisors (see below), whose sum is σ = 14792025534. Its totient is φ = 1581451776.

The previous prime is 5007982607. The next prime is 5007982613. The reversal of 5007982608 is 8062897005.

5007982608 is a `hidden beast` number, since 500 + 7 + 9 + 82 + 60 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4046486544 + 961496064 = 63612^2 + 31008^2 .

It is not an unprimeable number, because it can be changed into a prime (5007982601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3816 + ... + 100152.

Almost surely, 25007982608 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 5007982608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396012767).

5007982608 is an abundant number, since it is smaller than the sum of its proper divisors (9784042926).

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

5007982608 is a wasteful number, since it uses less digits than its factorization.

5007982608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96389 (or 96361 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5007982608 is about 70767.1011699646. The cubic root of 5007982608 is about 1710.8854673366.

The spelling of 5007982608 in words is "five billion, seven million, nine hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 12996 17328 25992 51984 96337 192674 289011 385348 578022 770696 867033 1156044 1541392 1734066 1830403 2312088 3468132 3660806 4624176 5491209 6936264 7321612 10982418 13872528 14643224 16473627 21964836 29286448 32947254 34777657 43929672 65894508 69555314 87859344 104332971 131789016 139110628 208665942 263578032 278221256 312998913 417331884 556442512 625997826 834663768 1251995652 1669327536 2503991304 5007982608