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138888407763 = 32717490926417
BaseRepresentation
bin1000000101011001100…
…1001110101011010011
3111021111101001010212100
42001112121032223103
54233420413022023
6143445432331443
713014532662420
oct2012631165323
9437441033770
10138888407763
11539a1981476
1222b01543b83
13101354b2b01
146a17b52d47
15392d34ac43
hex205664ead3

138888407763 has 48 divisors (see below), whose sum is σ = 242821575360. Its totient is φ = 74678243328.

The previous prime is 138888407761. The next prime is 138888407767. The reversal of 138888407763 is 367704888831.

138888407763 is a `hidden beast` number, since 1 + 3 + 88 + 88 + 407 + 76 + 3 = 666.

It is not a de Polignac number, because 138888407763 - 21 = 138888407761 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 138888407763.

It is not an unprimeable number, because it can be changed into a prime (138888407761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5244331 + ... + 5270747.

It is an arithmetic number, because the mean of its divisors is an integer number (5058782820).

Almost surely, 2138888407763 is an apocalyptic number.

138888407763 is a deficient number, since it is larger than the sum of its proper divisors (103933167597).

138888407763 is a wasteful number, since it uses less digits than its factorization.

138888407763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31356 (or 31353 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 138888407763 in words is "one hundred thirty-eight billion, eight hundred eighty-eight million, four hundred seven thousand, seven hundred sixty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 4909 14727 26417 34363 44181 79251 83453 103089 184919 237753 250359 309267 449089 554757 584171 751077 1347267 1664271 1752513 3143623 4041801 5257539 9430869 28292607 129681053 389043159 907767371 1167129477 2204577901 2723302113 6613733703 8169906339 15432045307 19841201109 46296135921 138888407763