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11974855680 = 2103251511721
BaseRepresentation
bin10110010011100000…
…11100110000000000
31010220112210200211100
423021300130300000
5144011030340210
65300130414400
7602514410454
oct131160346000
933815720740
1011974855680
115095548347
1223a2431400
13118ab9ca28
14818554664
154a14555c0
hex2c9c1cc00

11974855680 has 264 divisors, whose sum is σ = 41791617504. Its totient is φ = 3170304000.

The previous prime is 11974855667. The next prime is 11974855693. The reversal of 11974855680 is 8655847911.

It is a happy number.

11974855680 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 4 + 8 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11974855667) and next prime (11974855693).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6957220 + ... + 6958940.

Almost surely, 211974855680 is an apocalyptic number.

11974855680 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 11974855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20895808752).

11974855680 is an abundant number, since it is smaller than the sum of its proper divisors (29816761824).

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

11974855680 is a wasteful number, since it uses less digits than its factorization.

11974855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 11974855680 in words is "eleven billion, nine hundred seventy-four million, eight hundred fifty-five thousand, six hundred eighty".