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13274966880 = 253457414383
BaseRepresentation
bin11000101110011111…
…11110101101100000
31021021011012012010000
430113033332231200
5204141342420010
610033132340000
7646652233230
oct142717765540
937234165100
1013274966880
1156a241110a
1226a5914600
1313373464b6
148dd0a3cc0
1552a6687c0
hex3173feb60

13274966880 has 960 divisors, whose sum is σ = 56800009728. Its totient is φ = 2856591360.

The previous prime is 13274966849. The next prime is 13274966897. The reversal of 13274966880 is 8866947231.

13274966880 is a `hidden beast` number, since 13 + 2 + 7 + 496 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159939319 + ... + 159939401.

Almost surely, 213274966880 is an apocalyptic number.

13274966880 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 13274966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28400004864).

13274966880 is an abundant number, since it is smaller than the sum of its proper divisors (43525042848).

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

13274966880 is a wasteful number, since it uses less digits than its factorization.

13274966880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13274966880 in words is "thirteen billion, two hundred seventy-four million, nine hundred sixty-six thousand, eight hundred eighty".