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100517106672 = 243231112320051
BaseRepresentation
bin101110110011101001…
…0010101001111110000
3100121110012200002020200
41131213102111033300
53121324334403142
6114102114235200
710155623211063
oct1354722251760
9317405602220
10100517106672
11396a1316a94
1217592b85b00
13962b9a4018
144c179ca8da
15293483164c
hex17674953f0

100517106672 has 120 divisors (see below), whose sum is σ = 290655825408. Its totient is φ = 32394384000.

The previous prime is 100517106647. The next prime is 100517106689. The reversal of 100517106672 is 276601715001.

100517106672 is a `hidden beast` number, since 1 + 0 + 0 + 517 + 10 + 66 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5003047 + ... + 5023097.

Almost surely, 2100517106672 is an apocalyptic number.

100517106672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100517106672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145327912704).

100517106672 is an abundant number, since it is smaller than the sum of its proper divisors (190138718736).

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

100517106672 is a wasteful number, since it uses less digits than its factorization.

100517106672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21219 (or 21210 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 100517106672 in words is "one hundred billion, five hundred seventeen million, one hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1123 1488 2232 2246 3369 4464 4492 6738 8984 10107 13476 17968 20051 20214 26952 34813 40102 40428 53904 60153 69626 80204 80856 104439 120306 139252 160408 161712 180459 208878 240612 278504 313317 320816 360918 417756 481224 557008 621581 626634 721836 835512 962448 1243162 1253268 1443672 1671024 1864743 2486324 2506536 2887344 3729486 4972648 5013072 5594229 7458972 9945296 11188458 14917944 22376916 22517273 29835888 44753832 45034546 67551819 89507664 90069092 135103638 180138184 202655457 270207276 360276368 405310914 540414552 698035463 810621828 1080829104 1396070926 1621243656 2094106389 2792141852 3242487312 4188212778 5584283704 6282319167 8376425556 11168567408 12564638334 16752851112 25129276668 33505702224 50258553336 100517106672