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13426015680 = 263457211312
BaseRepresentation
bin11001000000100000…
…01011110111000000
31021122200102021010000
430200100023313000
5204444030000210
610100130040000
7653465151600
oct144020136700
937580367100
1013426015680
11576a6aa330
122728419000
13135c72189c
14915182c00
15538a53ac0
hex32040bdc0

13426015680 has 1260 divisors, whose sum is σ = 62624704824. Its totient is φ = 2699827200.

The previous prime is 13426015667. The next prime is 13426015709. The reversal of 13426015680 is 8651062431.

It is a happy number.

13426015680 is a `hidden beast` number, since 1 + 3 + 42 + 601 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 433097265 + ... + 433097295.

Almost surely, 213426015680 is an apocalyptic number.

13426015680 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 13426015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31312352412).

13426015680 is an abundant number, since it is smaller than the sum of its proper divisors (49198689144).

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

13426015680 is a wasteful number, since it uses less digits than its factorization.

13426015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13426015680 in words is "thirteen billion, four hundred twenty-six million, fifteen thousand, six hundred eighty".