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8009642112 = 273316191087
BaseRepresentation
bin1110111010110100…
…10111000010000000
3202200012112222101120
413131122113002000
5112400432021422
63402442232240
7402325556163
oct73532270200
922605488346
108009642112
11344026373a
1216764b5680
139a853ab04
1455da97ada
1531d2a245c
hex1dd697080

8009642112 has 128 divisors (see below), whose sum is σ = 22017638400. Its totient is φ = 2577208320.

The previous prime is 8009642111. The next prime is 8009642159. The reversal of 8009642112 is 2112469008.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (8009642111) 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, 7368033 + ... + 7369119.

It is an arithmetic number, because the mean of its divisors is an integer number (172012800).

Almost surely, 28009642112 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 8009642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11008819200).

8009642112 is an abundant number, since it is smaller than the sum of its proper divisors (14007996288).

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

8009642112 is a wasteful number, since it uses less digits than its factorization.

8009642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8009642112 is about 89496.6039132212. The cubic root of 8009642112 is about 2000.8031867357.

The spelling of 8009642112 in words is "eight billion, nine million, six hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 619 744 992 1087 1238 1488 1857 1984 2174 2476 2976 3261 3714 3968 4348 4952 5952 6522 7428 8696 9904 11904 13044 14856 17392 19189 19808 26088 29712 33697 34784 38378 39616 52176 57567 59424 67394 69568 76756 79232 101091 104352 115134 118848 134788 139136 153512 202182 208704 230268 237696 269576 307024 404364 417408 460536 539152 614048 672853 808728 921072 1078304 1228096 1345706 1617456 1842144 2018559 2156608 2456192 2691412 3234912 3684288 4037118 4313216 5382824 6469824 7368576 8074236 10765648 12939648 16148472 20858443 21531296 32296944 41716886 43062592 62575329 64593888 83433772 86125184 125150658 129187776 166867544 250301316 258375552 333735088 500602632 667470176 1001205264 1334940352 2002410528 2669880704 4004821056 8009642112