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39677816133 = 3237412906161
BaseRepresentation
bin100100111100111110…
…110110110101000101
310210102012210220022200
4210330332312311011
51122230010104013
630121105145113
72603152605144
oct447476666505
9123365726280
1039677816133
111591110258a
12783402b199
1339843b8317
141cc58a175b
151073594e73
hex93cfb6d45

39677816133 has 24 divisors (see below), whose sum is σ = 60297049176. Its totient is φ = 25109222400.

The previous prime is 39677816099. The next prime is 39677816177. The reversal of 39677816133 is 33161877693.

It can be written as a sum of positive squares in 4 ways, for example, as 79602084 + 39598214049 = 8922^2 + 198993^2 .

It is not a de Polignac number, because 39677816133 - 26 = 39677816069 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 39677816133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39677816533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439428 + ... + 1466733.

It is an arithmetic number, because the mean of its divisors is an integer number (2512377049).

Almost surely, 239677816133 is an apocalyptic number.

It is an amenable number.

39677816133 is a deficient number, since it is larger than the sum of its proper divisors (20619233043).

39677816133 is a wasteful number, since it uses less digits than its factorization.

39677816133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906245 (or 2906242 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 39677816133 in words is "thirty-nine billion, six hundred seventy-seven million, eight hundred sixteen thousand, one hundred thirty-three".

Divisors: 1 3 9 37 41 111 123 333 369 1517 4551 13653 2906161 8718483 26155449 107527957 119152601 322583871 357457803 967751613 1072373409 4408646237 13225938711 39677816133