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13372001280 = 21032511233137
BaseRepresentation
bin11000111010000100…
…01000110000000000
31021111220210001021200
430131002020300000
5204341213020110
610050520221200
7652241064321
oct143502106000
937456701250
1013372001280
115742167530
12271230a800
13135148c1c1
1490bd22448
15533e346c0
hex31d088c00

13372001280 has 1056 divisors, whose sum is σ = 55916310528. Its totient is φ = 2919628800.

The previous prime is 13372001261. The next prime is 13372001309. The reversal of 13372001280 is 8210027331.

13372001280 is a `hidden beast` number, since 1 + 337 + 200 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 361405422 + ... + 361405458.

Almost surely, 213372001280 is an apocalyptic number.

13372001280 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 13372001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27958155264).

13372001280 is an abundant number, since it is smaller than the sum of its proper divisors (42544309248).

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

13372001280 is a wasteful number, since it uses less digits than its factorization.

13372001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 13372001280 in words is "thirteen billion, three hundred seventy-two million, one thousand, two hundred eighty".