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168433518344 = 237131699136177
BaseRepresentation
bin1001110011011101101…
…0111000011100001000
3121002202102101021021012
42130313122320130020
510224422440041334
6205213254503052
715111640166150
oct2346732703410
9532672337235
10168433518344
116548336a333
1228788064a88
1312b63558870
14821b9c9760
1545ac06c9ce
hex27376b8708

168433518344 has 64 divisors (see below), whose sum is σ = 388924368000. Its totient is φ = 66593332224.

The previous prime is 168433518329. The next prime is 168433518457. The reversal of 168433518344 is 443815334861.

168433518344 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 168433518292 and 168433518301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1168784 + ... + 1304960.

It is an arithmetic number, because the mean of its divisors is an integer number (6076943250).

Almost surely, 2168433518344 is an apocalyptic number.

168433518344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

168433518344 is an abundant number, since it is smaller than the sum of its proper divisors (220490849656).

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

168433518344 is a wasteful number, since it uses less digits than its factorization.

168433518344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137902 (or 137898 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 50.

The spelling of 168433518344 in words is "one hundred sixty-eight billion, four hundred thirty-three million, five hundred eighteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1699 3398 6796 11893 13592 22087 23786 44174 47572 88348 95144 136177 154609 176696 272354 309218 544708 618436 953239 1089416 1236872 1770301 1906478 3540602 3812956 7081204 7625912 12392107 14162408 24784214 49568428 99136856 231364723 462729446 925458892 1619553061 1850917784 3007741399 3239106122 6015482798 6478212244 12030965596 12956424488 21054189793 24061931192 42108379586 84216759172 168433518344