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8007070368 = 253117582453
BaseRepresentation
bin1110111010100001…
…00011001010100000
3202200000201022121210
413131100203022200
5112344302222433
63402311150120
7402264655323
oct73520431240
922600638553
108007070368
113439867530
121675675340
139a7b4a37b
1455d5c87ba
1531ce45463
hex1dd4232a0

8007070368 has 48 divisors (see below), whose sum is σ = 22929340896. Its totient is φ = 2426384640.

The previous prime is 8007070333. The next prime is 8007070373. The reversal of 8007070368 is 8630707008.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×80070703682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3790171 + ... + 3792282.

It is an arithmetic number, because the mean of its divisors is an integer number (477694602).

Almost surely, 28007070368 is an apocalyptic number.

8007070368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8007070368 is an abundant number, since it is smaller than the sum of its proper divisors (14922270528).

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

8007070368 is a wasteful number, since it uses less digits than its factorization.

8007070368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582477 (or 7582469 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 8007070368 is about 89482.2349296216. The cubic root of 8007070368 is about 2000.5890238418.

The spelling of 8007070368 in words is "eight billion, seven million, seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 7582453 15164906 22747359 30329812 45494718 60659624 83406983 90989436 121319248 166813966 181978872 242638496 250220949 333627932 363957744 500441898 667255864 727915488 1000883796 1334511728 2001767592 2669023456 4003535184 8007070368