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11897196864 = 2637219231113
BaseRepresentation
bin10110001010010000…
…01101000101000000
31010201010200012221220
423011020031011000
5143331140244424
65244314115040
7600552335100
oct130510150500
933633605856
1011897196864
115055726103
12238041ba80
131177a7c177
1480c0db200
15499715579
hex2c520d140

11897196864 has 504 divisors, whose sum is σ = 40245596928. Its totient is φ = 3088834560.

The previous prime is 11897196859. The next prime is 11897196869. The reversal of 11897196864 is 46869179811.

It is an interprime number because it is at equal distance from previous prime (11897196859) and next prime (11897196869).

It is a junction number, because it is equal to n+sod(n) for n = 11897196798 and 11897196807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11897196869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105284872 + ... + 105284984.

Almost surely, 211897196864 is an apocalyptic number.

11897196864 is a gapful number since it is divisible by the number (14) 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 11897196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122798464).

11897196864 is an abundant number, since it is smaller than the sum of its proper divisors (28348400064).

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

11897196864 is a wasteful number, since it uses less digits than its factorization.

11897196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 60.

The spelling of 11897196864 in words is "eleven billion, eight hundred ninety-seven million, one hundred ninety-six thousand, eight hundred sixty-four".