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11871997632 = 263411613413
BaseRepresentation
bin10110000111010000…
…00100111011000000
31010122101020222010000
423003220010323000
5143303212411012
65242014040000
7600125212665
oct130350047300
933571228100
1011871997632
1150424845a0
122373aa9000
131172798391
14808a1ba6c
154973d8ddc
hex2c3a04ec0

11871997632 has 280 divisors, whose sum is σ = 39032425872. Its totient is φ = 3537561600.

The previous prime is 11871997619. The next prime is 11871997661. The reversal of 11871997632 is 23679917811.

It is a happy number.

It is a super-3 number, since 3×118719976323 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3476758 + ... + 3480170.

Almost surely, 211871997632 is an apocalyptic number.

11871997632 is a gapful number since it is divisible by the number (12) 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 11871997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19516212936).

11871997632 is an abundant number, since it is smaller than the sum of its proper divisors (27160428240).

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

11871997632 is a wasteful number, since it uses less digits than its factorization.

11871997632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3490 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 11871997632 in words is "eleven billion, eight hundred seventy-one million, nine hundred ninety-seven thousand, six hundred thirty-two".