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13163532480 = 2633572173159
BaseRepresentation
bin11000100001001101…
…11001000011000000
31020222101111201212000
430100212321003000
5203424331014410
610014112104000
7644130115500
oct142046710300
936871451760
1013163532480
11564551a86a
122674535000
13131a22b297
148cc377a00
155209a5dc0
hex3109b90c0

13163532480 has 1344 divisors, whose sum is σ = 60043161600. Its totient is φ = 2694021120.

The previous prime is 13163532457. The next prime is 13163532493. The reversal of 13163532480 is 8423536131.

13163532480 is a `hidden beast` number, since 13 + 1 + 635 + 3 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223110691 + ... + 223110749.

Almost surely, 213163532480 is an apocalyptic number.

13163532480 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 13163532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30021580800).

13163532480 is an abundant number, since it is smaller than the sum of its proper divisors (46879629120).

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

13163532480 is a wasteful number, since it uses less digits than its factorization.

13163532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13163532480 in words is "thirteen billion, one hundred sixty-three million, five hundred thirty-two thousand, four hundred eighty".