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168518700372 = 223112296016659
BaseRepresentation
bin1001110011110001111…
…1110100110101010100
3121002222100122222001010
42130330133310311110
510230111241402442
6205225540332220
715114023214231
oct2347437646524
9532870588033
10168518700372
116551745a900
12287b06a4070
1312b780b1829
148229040788
1545b4796b9c
hex273c7f4d54

168518700372 has 144 divisors (see below), whose sum is σ = 447921230400. Its totient is φ = 49215936000.

The previous prime is 168518700313. The next prime is 168518700373. The reversal of 168518700372 is 273007815861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168518700373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25303579 + ... + 25310237.

It is an arithmetic number, because the mean of its divisors is an integer number (3110564100).

Almost surely, 2168518700372 is an apocalyptic number.

168518700372 is a gapful number since it is divisible by the number (12) 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 168518700372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223960615200).

168518700372 is an abundant number, since it is smaller than the sum of its proper divisors (279402530028).

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

168518700372 is a wasteful number, since it uses less digits than its factorization.

168518700372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318 (or 7305 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 168518700372 in words is "one hundred sixty-eight billion, five hundred eighteen million, seven hundred thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 601 638 726 957 1202 1276 1452 1803 1914 2404 3509 3606 3828 6611 6659 7018 7212 10527 13222 13318 14036 17429 19833 19977 21054 26444 26636 34858 39666 39954 42108 52287 69716 72721 73249 79332 79908 104574 145442 146498 191719 193111 209148 218163 219747 290884 292996 383438 386222 436326 439494 575157 579333 766876 772444 805739 872652 878988 1150314 1158666 1611478 2108909 2124221 2300628 2317332 2417217 3222956 4002059 4217818 4248442 4834434 6326727 6372663 8004118 8435636 8496884 9668868 12006177 12653454 12745326 16008236 23366431 24012354 25306908 25490652 44022649 46732862 48024708 70099293 88045298 93465724 116059711 132067947 140198586 176090596 232119422 264135894 280397172 348179133 464238844 484249139 528271788 696358266 968498278 1276656821 1392716532 1452747417 1936996556 2553313642 2905494834 3829970463 5106627284 5810989668 7659940926 14043225031 15319881852 28086450062 42129675093 56172900124 84259350186 168518700372