Search a number
-
+
38679697683 = 32112270713121
BaseRepresentation
bin100100000001011111…
…010101100100010011
310200211122200020012200
4210001133111210103
51113204000311213
625434052054243
72536343001624
oct440137254423
9120748606180
1038679697683
1115449754400
1275b5904383
1338556896a3
141c2d0c3a4b
151015b36273
hex9017d5913

38679697683 has 36 divisors (see below), whose sum is σ = 61438936104. Its totient is φ = 23431795200.

The previous prime is 38679697681. The next prime is 38679697703.

38679697683 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38679697683 - 21 = 38679697681 is a prime.

It is a super-3 number, since 3×386796976833 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (38679697681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2941363 + ... + 2954483.

It is an arithmetic number, because the mean of its divisors is an integer number (1706637114).

Almost surely, 238679697683 is an apocalyptic number.

38679697683 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38679697683 is a deficient number, since it is larger than the sum of its proper divisors (22759238421).

38679697683 is a wasteful number, since it uses less digits than its factorization.

38679697683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15856 (or 15842 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 38679697683 in words is "thirty-eight billion, six hundred seventy-nine million, six hundred ninety-seven thousand, six hundred eighty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 2707 8121 13121 24363 29777 39363 89331 118089 144331 267993 327547 432993 982641 1298979 1587641 2947923 4762923 14288769 35518547 106555641 319666923 390704017 1172112051 3516336153 4297744187 12893232561 38679697683