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2142591392968 = 23131011627125371
BaseRepresentation
bin11111001011011100011…
…001100001110011001000
321120211101212201010120121
4133023130121201303020
5240101011344033333
64320143133233024
7310540261226635
oct37133431416310
97524355633517
102142591392968
11756738a90904
122a72b9632774
13127078c74790
14759b831d18c
153ab0147e32d
hex1f2dc661cc8

2142591392968 has 64 divisors (see below), whose sum is σ = 4371942294720. Its totient is φ = 978487776000.

The previous prime is 2142591392947. The next prime is 2142591392987. The reversal of 2142591392968 is 8692931952412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17027323 + ... + 17152693.

It is an arithmetic number, because the mean of its divisors is an integer number (68311598355).

Almost surely, 22142591392968 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 2142591392968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185971147360).

2142591392968 is an abundant number, since it is smaller than the sum of its proper divisors (2229350901752).

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

2142591392968 is a wasteful number, since it uses less digits than its factorization.

2142591392968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127118 (or 127114 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 61.

The spelling of 2142591392968 in words is "two trillion, one hundred forty-two billion, five hundred ninety-one million, three hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 1627 2626 3254 5252 6508 10504 13016 21151 42302 84604 125371 164327 169208 250742 328654 501484 657308 1002968 1314616 1629823 2136251 3259646 4272502 6519292 8545004 12662471 13038584 17090008 25324942 50649884 101299768 164612123 203978617 329224246 407957234 658448492 815914468 1316896984 1631828936 2651722021 5303444042 10606888084 20601840317 21213776168 41203680634 82407361268 164814722536 267823924121 535647848242 1071295696484 2142591392968