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8032806912 = 211313163617
BaseRepresentation
bin1110111101100101…
…01110100000000000
3202201211010212112010
413132302232200000
5112422344310122
63405030532520
7403026506064
oct73662564000
922654125463
108032806912
1134523457a9
121682207140
139b028b8b0
14562ba7aa4
1532032ae0c
hex1decae800

8032806912 has 192 divisors, whose sum is σ = 23242040640. Its totient is φ = 2452488192.

The previous prime is 8032806907. The next prime is 8032806913. The reversal of 8032806912 is 2196082308.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (8032806913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13018828 + ... + 13019444.

It is an arithmetic number, because the mean of its divisors is an integer number (121052295).

Almost surely, 28032806912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8032806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621020320).

8032806912 is an abundant number, since it is smaller than the sum of its proper divisors (15209233728).

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

8032806912 is a wasteful number, since it uses less digits than its factorization.

8032806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8032806912 is about 89625.9276772073. The cubic root of 8032806912 is about 2002.7301806942.

The spelling of 8032806912 in words is "eight billion, thirty-two million, eight hundred six thousand, nine hundred twelve".