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13366536480 = 253251119231931
BaseRepresentation
bin11000111001011010…
…10010100100100000
31021111112111101222200
430130231102210200
5204333313131410
610050203133200
7652143454053
oct143455224440
937445441880
1013366536480
11573a074770
122710514200
1313502c79ab
1490b2dca9a
155337053c0
hex31cb52920

13366536480 has 576 divisors, whose sum is σ = 54684564480. Its totient is φ = 2934835200.

The previous prime is 13366536451. The next prime is 13366536493. The reversal of 13366536480 is 8463566331.

13366536480 is a `hidden beast` number, since 1 + 3 + 36 + 6 + 536 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6921115 + ... + 6923045.

It is an arithmetic number, because the mean of its divisors is an integer number (94938480).

Almost surely, 213366536480 is an apocalyptic number.

13366536480 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 13366536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342282240).

13366536480 is an abundant number, since it is smaller than the sum of its proper divisors (41318028000).

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

13366536480 is a wasteful number, since it uses less digits than its factorization.

13366536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 13366536480 in words is "thirteen billion, three hundred sixty-six million, five hundred thirty-six thousand, four hundred eighty".