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13280693760 = 293251741827
BaseRepresentation
bin11000101111001011…
…10100111000000000
31021021112222010220200
430113211310320000
5204144324200020
610033455205200
7650052014535
oct142745647000
937245863820
1013280693760
1156a5672874
1226a7816800
1313385a0099
148ddb54d8c
1552adea590
hex317974e00

13280693760 has 480 divisors, whose sum is σ = 49948490592. Its totient is φ = 3247964160.

The previous prime is 13280693759. The next prime is 13280693779. The reversal of 13280693760 is 6739608231.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16058467 + ... + 16059293.

Almost surely, 213280693760 is an apocalyptic number.

13280693760 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 13280693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24974245296).

13280693760 is an abundant number, since it is smaller than the sum of its proper divisors (36667796832).

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

13280693760 is a wasteful number, since it uses less digits than its factorization.

13280693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13280693760 in words is "thirteen billion, two hundred eighty million, six hundred ninety-three thousand, seven hundred sixty".