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116422425800 = 235223210492
BaseRepresentation
bin110110001101101010…
…0010011110011001000
3102010111200100000022022
41230123110103303020
53401413120111200
6125252252344012
711261025201632
oct1543324236310
9363450300268
10116422425800
114541347372a
121a691775008
13ac94c59865
1458c6153a52
153065d73885
hex1b1b513cc8

116422425800 has 108 divisors (see below), whose sum is σ = 283232617395. Its totient is φ = 44501768960.

The previous prime is 116422425797. The next prime is 116422425809. The reversal of 116422425800 is 8524224611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 94223213764 + 22199212036 = 306958^2 + 148994^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=241270.

It is not an unprimeable number, because it can be changed into a prime (116422425809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110983676 + ... + 110984724.

Almost surely, 2116422425800 is an apocalyptic number.

116422425800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116422425800

116422425800 is an abundant number, since it is smaller than the sum of its proper divisors (166810191595).

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

116422425800 is an equidigital number, since it uses as much as digits as its factorization.

116422425800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 116422425800 in words is "one hundred sixteen billion, four hundred twenty-two million, four hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 529 575 920 1049 1058 1150 2098 2116 2300 2645 4196 4232 4600 5245 5290 8392 10490 10580 13225 20980 21160 24127 26225 26450 41960 48254 52450 52900 96508 104900 105800 120635 193016 209800 241270 482540 554921 603175 965080 1100401 1109842 1206350 2200802 2219684 2412700 2774605 4401604 4439368 4825400 5502005 5549210 8803208 11004010 11098420 13873025 22008020 22196840 25309223 27510025 27746050 44016040 50618446 55020050 55492100 101236892 110040100 110984200 126546115 202473784 220080200 253092230 506184460 582112129 632730575 1012368920 1164224258 1265461150 2328448516 2530922300 2910560645 4656897032 5061844600 5821121290 11642242580 14552803225 23284485160 29105606450 58211212900 116422425800