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11897160408 = 23327231181601
BaseRepresentation
bin10110001010010000…
…00100001011011000
31010201010121100221200
423011020010023120
5143331133113113
65244313234200
7600552123600
oct130510041330
933633540850
1011897160408
115055700781
122380402960
131177a686b3
1480c0cbc00
15499709873
hex2c52042d8

11897160408 has 288 divisors, whose sum is σ = 38969723520. Its totient is φ = 3265920000.

The previous prime is 11897160397. The next prime is 11897160413. The reversal of 11897160408 is 80406179811.

It is a happy number.

11897160408 is a `hidden beast` number, since 1 + 1 + 89 + 7 + 160 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19795308 + ... + 19795908.

It is an arithmetic number, because the mean of its divisors is an integer number (135311540).

Almost surely, 211897160408 is an apocalyptic number.

11897160408 is a gapful number since it is divisible by the number (18) 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 11897160408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19484861760).

11897160408 is an abundant number, since it is smaller than the sum of its proper divisors (27072563112).

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

11897160408 is a wasteful number, since it uses less digits than its factorization.

11897160408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11897160408 in words is "eleven billion, eight hundred ninety-seven million, one hundred sixty thousand, four hundred eight".