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11989059264 = 263371376243
BaseRepresentation
bin10110010101001101…
…01000011011000000
31010221112112022111000
423022212220123000
5144023144344024
65301355052000
7603046215360
oct131246503300
933845468430
1011989059264
1150a2569746
1223a7141000
131190b03a10
1481a3b09a0
154a280dcc9
hex2ca9a86c0

11989059264 has 224 divisors, whose sum is σ = 43379786240. Its totient is φ = 3161908224.

The previous prime is 11989059217. The next prime is 11989059289. The reversal of 11989059264 is 46295098911.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11989059264.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119127 + ... + 195369.

It is an arithmetic number, because the mean of its divisors is an integer number (193659760).

Almost surely, 211989059264 is an apocalyptic number.

11989059264 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 11989059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21689893120).

11989059264 is an abundant number, since it is smaller than the sum of its proper divisors (31390726976).

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

11989059264 is a wasteful number, since it uses less digits than its factorization.

11989059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76284 (or 76268 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11989059264 in words is "eleven billion, nine hundred eighty-nine million, fifty-nine thousand, two hundred sixty-four".