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8068122192 = 24313376507
BaseRepresentation
bin1111000001110010…
…11100011001010000
3202211021121001222110
413200321130121100
5113010414402232
63412331505320
7403635623064
oct74071343120
922737531873
108068122192
113470276689
121691bb8240
139b76a5000
1456775baa4
153234a4acc
hex1e0e5c650

8068122192 has 80 divisors (see below), whose sum is σ = 22579040960. Its totient is φ = 2482466688.

The previous prime is 8068122173. The next prime is 8068122199. The reversal of 8068122192 is 2912218608.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8068122192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068122199) 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, 67203 + ... + 143709.

It is an arithmetic number, because the mean of its divisors is an integer number (282238012).

Almost surely, 28068122192 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 8068122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289520480).

8068122192 is an abundant number, since it is smaller than the sum of its proper divisors (14510918768).

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

8068122192 is a wasteful number, since it uses less digits than its factorization.

8068122192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76557 (or 76525 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 8068122192 is about 89822.7264783251. The cubic root of 8068122192 is about 2005.6608118215.

The spelling of 8068122192 in words is "eight billion, sixty-eight million, one hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2197 2704 4056 4394 6591 8112 8788 13182 17576 26364 35152 52728 76507 105456 153014 229521 306028 459042 612056 918084 994591 1224112 1836168 1989182 2983773 3672336 3978364 5967546 7956728 11935092 12929683 15913456 23870184 25859366 38789049 47740368 51718732 77578098 103437464 155156196 168085879 206874928 310312392 336171758 504257637 620624784 672343516 1008515274 1344687032 2017030548 2689374064 4034061096 8068122192