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138163346388 = 223227713855129
BaseRepresentation
bin1000000010101100101…
…1010101101111010100
3111012121211201012122100
42000223023111233110
54230424304041023
6143245452002100
712660550032024
oct2005313255724
9435554635570
10138163346388
115365a6750a1
122293a760330
131004b20a602
146989733a84
1538d9877c43
hex202b2d5bd4

138163346388 has 36 divisors (see below), whose sum is σ = 350507078740. Its totient is φ = 45888183936.

The previous prime is 138163346383. The next prime is 138163346393. The reversal of 138163346388 is 883643361831.

138163346388 is a `hidden beast` number, since 13 + 8 + 163 + 3 + 463 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (138163346383) and next prime (138163346393).

It can be written as a sum of positive squares in 2 ways, for example, as 13301470224 + 124861876164 = 115332^2 + 353358^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1381633463882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138163346383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6917593 + ... + 6937536.

Almost surely, 2138163346388 is an apocalyptic number.

138163346388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138163346388 is an abundant number, since it is smaller than the sum of its proper divisors (212343732352).

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

138163346388 is a wasteful number, since it uses less digits than its factorization.

138163346388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13855416 (or 13855411 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 138163346388 in words is "one hundred thirty-eight billion, one hundred sixty-three million, three hundred forty-six thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 3324 4986 9972 13855129 27710258 41565387 55420516 83130774 124696161 166261548 249392322 498784644 3837870733 7675741466 11513612199 15351482932 23027224398 34540836597 46054448796 69081673194 138163346388