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8001400068 = 22321975032243
BaseRepresentation
bin1110111001110101…
…11010110100000100
3202122122001020102200
413130322322310010
5112341324300233
63401545434500
7402165530664
oct73472726404
922578036380
108001400068
113436644332
12167379ba30
139a691346c
1455c9501a4
1531c6c5313
hex1dcebad04

8001400068 has 72 divisors (see below), whose sum is σ = 20377925568. Its totient is φ = 2647138368.

The previous prime is 8001400021. The next prime is 8001400079. The reversal of 8001400068 is 8600041008.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3566155 + ... + 3568397.

It is an arithmetic number, because the mean of its divisors is an integer number (283026744).

Almost surely, 28001400068 is an apocalyptic number.

It is an amenable number.

8001400068 is an abundant number, since it is smaller than the sum of its proper divisors (12376525500).

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

8001400068 is a wasteful number, since it uses less digits than its factorization.

8001400068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8001400068 is about 89450.5453756432. The cubic root of 8001400068 is about 2000.1166655278.

The spelling of 8001400068 in words is "eight billion, one million, four hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 503 591 788 1006 1182 1509 1773 2012 2243 2364 3018 3546 4486 4527 6036 6729 7092 8972 9054 13458 18108 20187 26916 40374 80748 99091 198182 297273 396364 441871 594546 883742 891819 1128229 1189092 1325613 1767484 1783638 2256458 2651226 3384687 3567276 3976839 4512916 5302452 6769374 7953678 10154061 13538748 15907356 20308122 40616244 222261113 444522226 666783339 889044452 1333566678 2000350017 2667133356 4000700034 8001400068