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137866501638 = 232171672697869
BaseRepresentation
bin1000000001100101111…
…0111101111000000110
3111011212011010221012100
42000121132331320012
54224322311023023
6143200205332530
712650313633315
oct2003136757006
9434764127170
10137866501638
1153518056258
1222877267146
1310001875a28
14695c14227c
1538bd78dc43
hex20197bde06

137866501638 has 48 divisors (see below), whose sum is σ = 318175996320. Its totient is φ = 42993224448.

The previous prime is 137866501631. The next prime is 137866501639. The reversal of 137866501638 is 836105668731.

137866501638 is a `hidden beast` number, since 1 + 3 + 78 + 6 + 6 + 501 + 63 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137866501631) 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, 1297833 + ... + 1400036.

It is an arithmetic number, because the mean of its divisors is an integer number (6628666590).

Almost surely, 2137866501638 is an apocalyptic number.

137866501638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137866501638 is an abundant number, since it is smaller than the sum of its proper divisors (180309494682).

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

137866501638 is a wasteful number, since it uses less digits than its factorization.

137866501638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698061 (or 2698058 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 137866501638 in words is "one hundred thirty-seven billion, eight hundred sixty-six million, five hundred one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 167 306 334 501 1002 1503 2839 3006 5678 8517 17034 25551 51102 2697869 5395738 8093607 16187214 24280821 45863773 48561642 91727546 137591319 275182638 412773957 450544123 825547914 901088246 1351632369 2703264738 4054897107 7659250091 8109794214 15318500182 22977750273 45955500546 68933250819 137866501638