Search a number
-
+
18099954084168 = 2333117617825793
BaseRepresentation
bin1000001110110001110010…
…10101010110100101001000
32101002100010220212020021000
410013120321111112211020
54333022201221143133
6102255000520015000
73545451510144615
oct407307125264510
971070126766230
1018099954084168
115849169241090
122043a86001460
13a13a83ba3988
144680846b950c
15215c4c073413
hex107639556948

18099954084168 has 64 divisors (see below), whose sum is σ = 54848345716800. Its totient is φ = 5484834570240.

The previous prime is 18099954084109. The next prime is 18099954084181. The reversal of 18099954084168 is 86148045999081.

18099954084168 is a `hidden beast` number, since 1 + 8 + 0 + 99 + 95 + 408 + 41 + 6 + 8 = 666.

It is a super-4 number, since 4×180999540841684 (a number of 54 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18099954084096 and 18099954084105.

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, 3808910521 + ... + 3808915272.

It is an arithmetic number, because the mean of its divisors is an integer number (857005401825).

Almost surely, 218099954084168 is an apocalyptic number.

18099954084168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18099954084168 is an abundant number, since it is smaller than the sum of its proper divisors (36748391632632).

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

18099954084168 is a wasteful number, since it uses less digits than its factorization.

18099954084168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617825819 (or 7617825809 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 18099954084168 in words is "eighteen trillion, ninety-nine billion, nine hundred fifty-four million, eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 7617825793 15235651586 22853477379 30471303172 45706954758 60942606344 68560432137 83796083723 91413909516 137120864274 167592167446 182827819032 205681296411 251388251169 274241728548 335184334892 411362592822 502776502338 548483457096 670368669784 754164753507 822725185644 1005553004676 1508329507014 1645450371288 2011106009352 2262494260521 3016659014028 4524988521042 6033318028056 9049977042084 18099954084168