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9189006816 = 2531129614919
BaseRepresentation
bin10001000111011010…
…10001110111100000
3212201101201220121210
420203231101313200
5122304341204231
64115452150120
7443466161223
oct104355216740
925641656553
109189006816
113995a55910
121945468340
13b35988952
146325755ba
1538bab3a46
hex223b51de0

9189006816 has 192 divisors, whose sum is σ = 27673228800. Its totient is φ = 2643916800.

The previous prime is 9189006791. The next prime is 9189006817. The reversal of 9189006816 is 6186009819.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

9189006816 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9189006817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865605 + ... + 1870523.

It is an arithmetic number, because the mean of its divisors is an integer number (144131400).

Almost surely, 29189006816 is an apocalyptic number.

9189006816 is a gapful number since it is divisible by the number (96) 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 9189006816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836614400).

9189006816 is an abundant number, since it is smaller than the sum of its proper divisors (18484221984).

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

9189006816 is a wasteful number, since it uses less digits than its factorization.

9189006816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 9189006816 is about 95859.3074041326. The cubic root of 9189006816 is about 2094.5441763055.

The spelling of 9189006816 in words is "nine billion, one hundred eighty-nine million, six thousand, eight hundred sixteen".