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13320552960 = 2932511132311
BaseRepresentation
bin11000110011111011…
…11000001000000000
31021101022222012110100
430121331320020000
5204240030143320
610041441402400
7651044555241
oct143175701000
937338865410
1013320552960
115716117660
1226b9039400
131343917800
1490516ccc8
1552e670790
hex319f78200

13320552960 has 720 divisors, whose sum is σ = 54671018688. Its totient is φ = 2971238400.

The previous prime is 13320552953. The next prime is 13320552961. The reversal of 13320552960 is 6925502331.

13320552960 is a `hidden beast` number, since 13 + 3 + 2 + 0 + 552 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (13320552961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42831205 + ... + 42831515.

Almost surely, 213320552960 is an apocalyptic number.

13320552960 is a gapful number since it is divisible by the number (10) 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 13320552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27335509344).

13320552960 is an abundant number, since it is smaller than the sum of its proper divisors (41350465728).

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

13320552960 is a wasteful number, since it uses less digits than its factorization.

13320552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13320552960 in words is "thirteen billion, three hundred twenty million, five hundred fifty-two thousand, nine hundred sixty".