Search a number
-
+
18894068931168 = 253321868135337
BaseRepresentation
bin1000100101111000111100…
…10001000101101001100000
32110220020220011001020001000
410102330132101011221200
54434030023121244133
6104103452045112000
73660023433031314
oct422743621055140
973806804036030
1018894068931168
116024a25387272
122151969558600
13a7091a7c5ba2
144946991a9b44
1522b728866413
hex112f1e445a60

18894068931168 has 48 divisors (see below), whose sum is σ = 55107701051760. Its totient is φ = 6298022976768.

The previous prime is 18894068931167. The next prime is 18894068931173. The reversal of 18894068931168 is 86113986049881.

18894068931168 is a `hidden beast` number, since 1 + 8 + 89 + 406 + 89 + 3 + 1 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 18894068931096 and 18894068931105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18894068931167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10934066805 + ... + 10934068532.

It is an arithmetic number, because the mean of its divisors is an integer number (1148077105245).

Almost surely, 218894068931168 is an apocalyptic number.

18894068931168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18894068931168 is an abundant number, since it is smaller than the sum of its proper divisors (36213632120592).

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

18894068931168 is a wasteful number, since it uses less digits than its factorization.

18894068931168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21868135356 (or 21868135342 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 72.

The spelling of 18894068931168 in words is "eighteen trillion, eight hundred ninety-four billion, sixty-eight million, nine hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 21868135337 43736270674 65604406011 87472541348 131208812022 174945082696 196813218033 262417624044 349890165392 393626436066 524835248088 590439654099 699780330784 787252872132 1049670496176 1180879308198 1574505744264 2099340992352 2361758616396 3149011488528 4723517232792 6298022977056 9447034465584 18894068931168