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168145017118344 = 233273188310463917
BaseRepresentation
bin100110001110110101010000…
…000001000001111010001000
3211001100111200100101100101100
4212032311100001001322020
5134014341443340241334
61353340430545221400
750263035162361560
oct4616652001017210
9731314610340340
10168145017118344
11496379a06a4952
1216a3776a031860
1372a9012720a46
142d74395891da0
151468c876e2c99
hex98ed50041e88

168145017118344 has 96 divisors (see below), whose sum is σ = 520465235958720. Its totient is φ = 48039922067328.

The previous prime is 168145017118321. The next prime is 168145017118391. The reversal of 168145017118344 is 443811710541861.

168145017118344 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 4 + 501 + 7 + 11 + 83 + 44 = 666.

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, 10837074 + ... + 21300990.

It is an arithmetic number, because the mean of its divisors is an integer number (5421512874570).

Almost surely, 2168145017118344 is an apocalyptic number.

168145017118344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

168145017118344 is an abundant number, since it is smaller than the sum of its proper divisors (352320218840376).

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

168145017118344 is a wasteful number, since it uses less digits than its factorization.

168145017118344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495819 (or 10495812 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 168145017118344 in words is "one hundred sixty-eight trillion, one hundred forty-five billion, seventeen million, one hundred eighteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 31883 63766 95649 127532 191298 223181 255064 286947 382596 446362 573894 669543 765192 892724 1147788 1339086 1785448 2008629 2295576 2678172 4017258 5356344 8034516 10463917 16069032 20927834 31391751 41855668 62783502 73247419 83711336 94175253 125567004 146494838 188350506 219742257 251134008 292989676 376701012 439484514 585979352 659226771 753402024 878969028 1318453542 1757938056 2636907084 5273814168 333621065711 667242131422 1000863197133 1334484262844 2001726394266 2335347459977 2668968525688 3002589591399 4003452788532 4670694919954 6005179182798 7006042379931 8006905577064 9341389839908 12010358365596 14012084759862 18682779679816 21018127139793 24020716731192 28024169519724 42036254279586 56048339039448 84072508559172 168145017118344