Search a number
-
+
108972505343907 = 37173221909973
BaseRepresentation
bin11000110001110000100011…
…011110001010011110100011
3112021211200002021002010000000
4120301300203132022132203
5103240401142332001112
61023433140003231043
731645001161165362
oct3061604336123643
9467750067063000
10108972505343907
11317a3a863a5227
121027b727678483
1348a60a89c145a
141cca4240d17d9
15c8e9592a67dc
hex631c2378a7a3

108972505343907 has 64 divisors (see below), whose sum is σ = 173101514901120. Its totient is φ = 68353602347520.

The previous prime is 108972505343887. The next prime is 108972505344019. The reversal of 108972505343907 is 709343505279801.

108972505343907 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 7 + 2 + 5 + 0 + 534 + 3 + 90 + 7 = 666.

It is not a de Polignac number, because 108972505343907 - 28 = 108972505343651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108972505343407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119298573 + ... + 120208545.

It is an arithmetic number, because the mean of its divisors is an integer number (2704711170330).

Almost surely, 2108972505343907 is an apocalyptic number.

108972505343907 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

108972505343907 is a deficient number, since it is larger than the sum of its proper divisors (64129009557213).

108972505343907 is an frugal number, since it uses more digits than its factorization.

108972505343907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913232 (or 913214 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 108972505343907 in words is "one hundred eight trillion, nine hundred seventy-two billion, five hundred five million, three hundred forty-three thousand, nine hundred seven".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 2187 3221 4131 9663 12393 28989 37179 54757 86967 164271 260901 492813 782703 909973 1478439 2348109 2729919 4435317 7044327 8189757 13305951 15469541 24569271 39917853 46408623 73707813 119753559 139225869 221123439 417677607 663370317 1253032821 1990110951 2931023033 3759098463 8793069099 11277295389 26379207297 33831886167 49827391561 79137621891 149482174683 237412865673 448446524049 712238597019 1345339572147 2136715791057 4036018716441 6410147373171 12108056149323 36324168447969 108972505343907