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8930047680 = 2632537181463
BaseRepresentation
bin10000101000100010…
…11011011011000000
3212001100110102110200
420110101123123000
5121242043011210
64034041525200
7434203103301
oct102421333300
925040412420
108930047680
113872862aa4
1218927a3800
13ac412a3a8
1460a0067a8
15373eb00c0
hex21445b6c0

8930047680 has 336 divisors, whose sum is σ = 31788591744. Its totient is φ = 2299207680.

The previous prime is 8930047663. The next prime is 8930047699. The reversal of 8930047680 is 867400398.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 19287129 + ... + 19287591.

It is an arithmetic number, because the mean of its divisors is an integer number (94608904).

Almost surely, 28930047680 is an apocalyptic number.

8930047680 is a gapful number since it is divisible by the number (80) 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 8930047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894295872).

8930047680 is an abundant number, since it is smaller than the sum of its proper divisors (22858544064).

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

8930047680 is a wasteful number, since it uses less digits than its factorization.

8930047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8930047680 is about 94498.9295177464. The cubic root of 8930047680 is about 2074.6806634912.

The spelling of 8930047680 in words is "eight billion, nine hundred thirty million, forty-seven thousand, six hundred eighty".