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8280008128 = 26720299109
BaseRepresentation
bin1111011011000011…
…01110010111000000
3210101001021222211201
413231201232113000
5113424140230003
63445341150544
7412120623250
oct75541562700
923331258751
108280008128
113569937727
121730b5b454
13a1c5613c2
14587955960
15336daab1d
hex1ed86e5c0

8280008128 has 56 divisors (see below), whose sum is σ = 18789192800. Its totient is φ = 3546436608.

The previous prime is 8280008089. The next prime is 8280008131. The reversal of 8280008128 is 8218000828.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904438 + ... + 913546.

It is an arithmetic number, because the mean of its divisors is an integer number (335521300).

Almost surely, 28280008128 is an apocalyptic number.

It is an amenable number.

8280008128 is an abundant number, since it is smaller than the sum of its proper divisors (10509184672).

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

8280008128 is a wasteful number, since it uses less digits than its factorization.

8280008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 8280008128 is about 90994.5499906450. The cubic root of 8280008128 is about 2023.0669458746.

The spelling of 8280008128 in words is "eight billion, two hundred eighty million, eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2029 4058 8116 9109 14203 16232 18218 28406 32464 36436 56812 63763 64928 72872 113624 127526 129856 145744 227248 255052 291488 454496 510104 582976 908992 1020208 2040416 4080832 18482161 36964322 73928644 129375127 147857288 258750254 295714576 517500508 591429152 1035001016 1182858304 2070002032 4140004064 8280008128