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13738180608 = 21834647
BaseRepresentation
bin11001100101101110…
…00000000000000000
31022110102210212220000
430302313000000000
5211113433234413
610151120520000
7664305415455
oct146267000000
938412725800
1013738180608
11590a932479
1227b4a80000
1313ac2bb769
1494480182c
15556167073
hex332dc0000

13738180608 has 190 divisors, whose sum is σ = 41108295096. Its totient is φ = 4572315648.

The previous prime is 13738180601. The next prime is 13738180609. The reversal of 13738180608 is 80608183731.

13738180608 is a `hidden beast` number, since 1 + 3 + 7 + 38 + 1 + 8 + 0 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13738180601) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21233341 + ... + 21233987.

Almost surely, 213738180608 is an apocalyptic number.

13738180608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13738180608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554147548).

13738180608 is an abundant number, since it is smaller than the sum of its proper divisors (27370114488).

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

13738180608 is an frugal number, since it uses more digits than its factorization.

13738180608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13738180608 in words is "thirteen billion, seven hundred thirty-eight million, one hundred eighty thousand, six hundred eight".