Search a number
-
+
99927660516 = 223231634874561
BaseRepresentation
bin101110100010000100…
…1110001011111100100
3100112221010112010010120
41131010021301133210
53114122440114031
6113523420321540
710135205046135
oct1350411613744
9315833463116
1099927660516
1139419617402
12174496a32b0
139566832108
144b9d5cdc8c
1528ecbeaa96
hex17442717e4

99927660516 has 96 divisors (see below), whose sum is σ = 245351221248. Its totient is φ = 31593576960.

The previous prime is 99927660491. The next prime is 99927660517. The reversal of 99927660516 is 61506672999.

It is a self number, because there is not a number n which added to its sum of digits gives 99927660516.

It is not an unprimeable number, because it can be changed into a prime (99927660517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21906876 + ... + 21911436.

It is an arithmetic number, because the mean of its divisors is an integer number (2555741888).

Almost surely, 299927660516 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 99927660516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122675610624).

99927660516 is an abundant number, since it is smaller than the sum of its proper divisors (145423560732).

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

99927660516 is a wasteful number, since it uses less digits than its factorization.

99927660516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 99927660516 in words is "ninety-nine billion, nine hundred twenty-seven million, six hundred sixty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 163 276 326 487 489 652 974 978 1461 1948 1956 2922 3749 4561 5844 7498 9122 11201 11247 13683 14996 18244 22402 22494 27366 33603 44804 44988 54732 67206 79381 104903 134412 158762 209806 238143 314709 317524 419612 476286 629418 743443 952572 1258836 1486886 1825763 2221207 2230329 2973772 3651526 4442414 4460658 5477289 6663621 7303052 8884828 8921316 10954578 13327242 17099189 21909156 26654484 34198378 51087761 51297567 68396756 102175522 102595134 153263283 204351044 205190268 306526566 362056741 613053132 724113482 1086170223 1448226964 2172340446 4344680892 8327305043 16654610086 24981915129 33309220172 49963830258 99927660516