Search a number
-
+
18231996827520 = 27335723311791181
BaseRepresentation
bin1000010010100111101111…
…01100011100011110000000
32101112221222012120120222000
410021103313230130132000
54342203112141440040
6102435355210144000
73561134610016140
oct411236754343600
971487865516860
1018231996827520
11589a1679a1563
122065596a22000
13a23368039c88
1447060d1a8920
152193c93de130
hex1094f7b1c780

18231996827520 has 2048 divisors, whose sum is σ = 80000483328000. Its totient is φ = 3832742707200.

The previous prime is 18231996827501. The next prime is 18231996827567. The reversal of 18231996827520 is 2572869913281.

18231996827520 is a `hidden beast` number, since 1 + 8 + 2 + 3 + 19 + 96 + 8 + 2 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15437761330 + ... + 15437762510.

It is an arithmetic number, because the mean of its divisors is an integer number (39062736000).

Almost surely, 218231996827520 is an apocalyptic number.

18231996827520 is a gapful number since it is divisible by the number (10) 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 18231996827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40000241664000).

18231996827520 is an abundant number, since it is smaller than the sum of its proper divisors (61768486500480).

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

18231996827520 is a wasteful number, since it uses less digits than its factorization.

18231996827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 18231996827520 in words is "eighteen trillion, two hundred thirty-one billion, nine hundred ninety-six million, eight hundred twenty-seven thousand, five hundred twenty".