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138200149116 = 22323838893031
BaseRepresentation
bin1000000010110101011…
…1101110110001111100
3111012201101221222111100
42000231113232301330
54231013214232431
6143253244453100
712661504612431
oct2005527566174
9435641858440
10138200149116
1153679421577
122294ab4a190
1310055a24a83
146990593b88
1538dcbe74e6
hex202d5eec7c

138200149116 has 18 divisors (see below), whose sum is σ = 349339265912. Its totient is φ = 46066716360.

The previous prime is 138200149091. The next prime is 138200149123. The reversal of 138200149116 is 611941002831.

138200149116 is a `hidden beast` number, since 138 + 20 + 0 + 1 + 491 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3838893031 = 138200149116 / (1 + 3 + 8 + 2 + 0 + 0 + 1 + 4 + 9 + 1 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1919446480 + ... + 1919446551.

Almost surely, 2138200149116 is an apocalyptic number.

It is an amenable number.

138200149116 is an abundant number, since it is smaller than the sum of its proper divisors (211139116796).

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

138200149116 is a wasteful number, since it uses less digits than its factorization.

138200149116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838893041 (or 3838893036 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 138200149116 in words is "one hundred thirty-eight billion, two hundred million, one hundred forty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3838893031 7677786062 11516679093 15355572124 23033358186 34550037279 46066716372 69100074558 138200149116