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12660738552 = 23327114748589
BaseRepresentation
bin10111100101010001…
…11000100111111000
31012200100102011020200
423302220320213320
5201412122113202
65452151322200
7625513334130
oct136250704770
935610364220
1012660738552
1154077252a0
122554080360
13126a008597
14881695ac0
154e1789e1c
hex2f2a389f8

12660738552 has 192 divisors, whose sum is σ = 43661030400. Its totient is φ = 3218469120.

The previous prime is 12660738533. The next prime is 12660738553. The reversal of 12660738552 is 25583706621.

12660738552 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 7 + 38 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12660738498 and 12660738507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12660738553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236274 + ... + 284862.

It is an arithmetic number, because the mean of its divisors is an integer number (227401200).

Almost surely, 212660738552 is an apocalyptic number.

12660738552 is a gapful number since it is divisible by the number (12) 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 12660738552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830515200).

12660738552 is an abundant number, since it is smaller than the sum of its proper divisors (31000291848).

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

12660738552 is a wasteful number, since it uses less digits than its factorization.

12660738552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48666 (or 48659 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12660738552 in words is "twelve billion, six hundred sixty million, seven hundred thirty-eight thousand, five hundred fifty-two".