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138402225558 = 2334162512297
BaseRepresentation
bin1000000011100101101…
…0100101110110010110
3111020020111012112021000
42000321122211312112
54231421432204213
6143325304004130
712666510335532
oct2007132456626
9436214175230
10138402225558
11537724a25a3
12229a6760646
131008885822c
1469ad356bc2
153900811c73
hex20396a5d96

138402225558 has 32 divisors (see below), whose sum is σ = 315061981920. Its totient is φ = 45008853120.

The previous prime is 138402225557. The next prime is 138402225569. The reversal of 138402225558 is 855522204831.

138402225558 is a `hidden beast` number, since 1 + 38 + 40 + 2 + 2 + 25 + 558 = 666.

It is a super-3 number, since 3×1384022255583 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138402225557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31253935 + ... + 31258362.

It is an arithmetic number, because the mean of its divisors is an integer number (9845686935).

Almost surely, 2138402225558 is an apocalyptic number.

138402225558 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138402225558 is an abundant number, since it is smaller than the sum of its proper divisors (176659756362).

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

138402225558 is a wasteful number, since it uses less digits than its factorization.

138402225558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62512349 (or 62512343 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 138402225558 in words is "one hundred thirty-eight billion, four hundred two million, two hundred twenty-five thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 62512297 125024594 187536891 375073782 562610673 1125221346 1687832019 2563004177 3375664038 5126008354 7689012531 15378025062 23067037593 46134075186 69201112779 138402225558