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8022139008 = 273139716567
BaseRepresentation
bin1110111100010100…
…00010000010000000
3202201002001212220120
413132022002002000
5112412131422013
63404010140240
7402540025242
oct73612020200
922632055816
108022139008
113447319854
12167a721680
139aacc5020
145615cc092
1531e420123
hex1de282080

8022139008 has 128 divisors (see below), whose sum is σ = 23185921920. Its totient is φ = 2442756096.

The previous prime is 8022138997. The next prime is 8022139043. The reversal of 8022139008 is 8009312208.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8022139008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475941 + ... + 492507.

It is an arithmetic number, because the mean of its divisors is an integer number (181140015).

Almost surely, 28022139008 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 8022139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592960960).

8022139008 is an abundant number, since it is smaller than the sum of its proper divisors (15163782912).

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

8022139008 is a wasteful number, since it uses less digits than its factorization.

8022139008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 16682 counting only the distinct ones).

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

The square root of 8022139008 is about 89566.3944121901. The cubic root of 8022139008 is about 2001.8432180850.

The spelling of 8022139008 in words is "eight billion, twenty-two million, one hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 97 104 128 156 192 194 208 291 312 384 388 416 582 624 776 832 1164 1248 1261 1552 1664 2328 2496 2522 3104 3783 4656 4992 5044 6208 7566 9312 10088 12416 15132 16567 18624 20176 30264 33134 37248 40352 49701 60528 66268 80704 99402 121056 132536 161408 198804 215371 242112 265072 397608 430742 484224 530144 646113 795216 861484 1060288 1292226 1590432 1606999 1722968 2120576 2584452 3180864 3213998 3445936 4820997 5168904 6361728 6427996 6891872 9641994 10337808 12855992 13783744 19283988 20675616 20890987 25711984 27567488 38567976 41351232 41781974 51423968 62672961 77135952 82702464 83563948 102847936 125345922 154271904 167127896 205695872 250691844 308543808 334255792 501383688 617087616 668511584 1002767376 1337023168 2005534752 2674046336 4011069504 8022139008