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11887489152 = 2733711231131
BaseRepresentation
bin10110001001000110…
…01011000010000000
31010200110102000111000
423010203023002000
5143321144123102
65243330052000
7600403663530
oct130443130200
933613360430
1011887489152
1150501a5600
12237911a000
131175a60666
1480aad14c0
1549894901c
hex2c48cb080

11887489152 has 768 divisors, whose sum is σ = 45842227200. Its totient is φ = 2965248000.

The previous prime is 11887489111. The next prime is 11887489169. The reversal of 11887489152 is 25198478811.

11887489152 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 7 + 489 + 152 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90744127 + ... + 90744257.

It is an arithmetic number, because the mean of its divisors is an integer number (59690400).

Almost surely, 211887489152 is an apocalyptic number.

11887489152 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 11887489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22921113600).

11887489152 is an abundant number, since it is smaller than the sum of its proper divisors (33954738048).

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

11887489152 is a wasteful number, since it uses less digits than its factorization.

11887489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 11887489152 in words is "eleven billion, eight hundred eighty-seven million, four hundred eighty-nine thousand, one hundred fifty-two".