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13357370880 = 293357191453
BaseRepresentation
bin11000111000010100…
…10100111000000000
31021110220020202011000
430130022110320000
5204323441332010
610045234452000
7652002531150
oct143412247000
937426222130
1013357370880
115734984497
122709434000
13134b438b69
14909dd4760
155329e47c0
hex31c294e00

13357370880 has 640 divisors, whose sum is σ = 57117772800. Its totient is φ = 2890432512.

The previous prime is 13357370869. The next prime is 13357370893. The reversal of 13357370880 is 8807375331.

13357370880 is a `hidden beast` number, since 1 + 3 + 3 + 573 + 70 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 9192234 + ... + 9193686.

It is an arithmetic number, because the mean of its divisors is an integer number (89246520).

Almost surely, 213357370880 is an apocalyptic number.

13357370880 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 13357370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28558886400).

13357370880 is an abundant number, since it is smaller than the sum of its proper divisors (43760401920).

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

13357370880 is a wasteful number, since it uses less digits than its factorization.

13357370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13357370880 in words is "thirteen billion, three hundred fifty-seven million, three hundred seventy thousand, eight hundred eighty".