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8812039680 = 29335232241
BaseRepresentation
bin10000011010011110…
…10000111000000000
3211202010101222221000
420031033100320000
5121021340232210
64014224332000
7431241046533
oct101517207000
924663358830
108812039680
113812191924
12185b174000
13aa5850082
145d8488a1a
1536894eac0
hex20d3d0e00

8812039680 has 480 divisors, whose sum is σ = 32856959520. Its totient is φ = 2238382080.

The previous prime is 8812039667. The next prime is 8812039711. The reversal of 8812039680 is 869302188.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36564360 + ... + 36564600.

It is an arithmetic number, because the mean of its divisors is an integer number (68451999).

Almost surely, 28812039680 is an apocalyptic number.

8812039680 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 8812039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428479760).

8812039680 is an abundant number, since it is smaller than the sum of its proper divisors (24044919840).

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

8812039680 is a wasteful number, since it uses less digits than its factorization.

8812039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8812039680 is about 93872.4649724295. The cubic root of 8812039680 is about 2065.5013414163.

The spelling of 8812039680 in words is "eight billion, eight hundred twelve million, thirty-nine thousand, six hundred eighty".