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13373268480 = 293451121341
BaseRepresentation
bin11000111010001101…
…11110001000000000
31021112000011102120000
430131012332020000
5204342024042410
610051003320000
7652254622635
oct143506761000
937460142500
1013373268480
115742952600
122712820000
131351813c20
1490c17218c
155340d4dc0
hex31d1be200

13373268480 has 1200 divisors, whose sum is σ = 58081954392. Its totient is φ = 2919628800.

The previous prime is 13373268451. The next prime is 13373268523. The reversal of 13373268480 is 8486237331.

13373268480 is a `hidden beast` number, since 13 + 373 + 268 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4639244544 + 8734023936 = 68112^2 + 93456^2 .

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 119 ways as a sum of consecutive naturals, for example, 326177260 + ... + 326177300.

Almost surely, 213373268480 is an apocalyptic number.

13373268480 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 13373268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29040977196).

13373268480 is an abundant number, since it is smaller than the sum of its proper divisors (44708685912).

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

13373268480 is a wasteful number, since it uses less digits than its factorization.

13373268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13373268480 in words is "thirteen billion, three hundred seventy-three million, two hundred sixty-eight thousand, four hundred eighty".