Search a number
-
+
18885759768 = 2331039979
BaseRepresentation
bin10001100101101011…
…011101001100011000
31210202011220000000000
4101211223131030120
5302134223303033
612402003213000
71236002211051
oct214553351430
953664800000
1018885759768
118011578927
1237b0977160
131a1c8ac3a5
14cb231b728
15758020a13
hex465add318

18885759768 has 88 divisors (see below), whose sum is σ = 53117228100. Its totient is φ = 6295095792.

The previous prime is 18885759751. The next prime is 18885759769. The reversal of 18885759768 is 86795758881.

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 = 18885759696 and 18885759705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18885759769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 452403 + ... + 492381.

Almost surely, 218885759768 is an apocalyptic number.

18885759768 is a gapful number since it is divisible by the number (18) 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 18885759768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558614050).

18885759768 is an abundant number, since it is smaller than the sum of its proper divisors (34231468332).

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

18885759768 is an frugal number, since it uses more digits than its factorization.

18885759768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40015 (or 39984 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 72.

The spelling of 18885759768 in words is "eighteen billion, eight hundred eighty-five million, seven hundred fifty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 39366 39979 52488 59049 78732 79958 118098 119937 157464 159916 236196 239874 319832 359811 472392 479748 719622 959496 1079433 1439244 2158866 2878488 3238299 4317732 6476598 8635464 9714897 12953196 19429794 25906392 29144691 38859588 58289382 77719176 87434073 116578764 174868146 233157528 262302219 349736292 524604438 699472584 786906657 1049208876 1573813314 2098417752 2360719971 3147626628 4721439942 6295253256 9442879884 18885759768