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12535720704 = 2836135167
BaseRepresentation
bin10111010110010111…
…11110101100000000
31012100122011121000000
423223023332230000
5201133121030304
65431524000000
7622434603453
oct135313765400
935318147000
1012535720704
1153530a6561
12251a230000
13124a145720
1486cc3149a
154d57e2939
hex2eb2feb00

12535720704 has 252 divisors, whose sum is σ = 40410256096. Its totient is φ = 3856398336.

The previous prime is 12535720679. The next prime is 12535720709. The reversal of 12535720704 is 40702753521.

12535720704 is a `hidden beast` number, since 12 + 5 + 3 + 572 + 0 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12535720709) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2423529 + ... + 2428695.

Almost surely, 212535720704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12535720704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20205128048).

12535720704 is an abundant number, since it is smaller than the sum of its proper divisors (27874535392).

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

12535720704 is an frugal number, since it uses more digits than its factorization.

12535720704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 12535720704 in words is "twelve billion, five hundred thirty-five million, seven hundred twenty thousand, seven hundred four".