Search a number
-
+
18045854023680 = 21936571971
BaseRepresentation
bin1000001101001101000001…
…01110000000000000000000
32100220011111121001102000000
410012212200232000000000
54331130402112224210
6102214052332000000
73541525041212010
oct406464056000000
970804447042000
1018045854023680
11582822716199a
1220354a8000000
13a0b94187a372
144655d1629c40
15214632790ac0
hex1069a0b80000

18045854023680 has 2240 divisors, whose sum is σ = 79217911872000. Its totient is φ = 3852635996160.

The previous prime is 18045854023679. The next prime is 18045854023693. The reversal of 18045854023680 is 8632045854081.

18045854023680 is a `hidden beast` number, since 1 + 80 + 4 + 5 + 85 + 402 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 254166958045 + ... + 254166958115.

Almost surely, 218045854023680 is an apocalyptic number.

18045854023680 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 18045854023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39608955936000).

18045854023680 is an abundant number, since it is smaller than the sum of its proper divisors (61172057848320).

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

18045854023680 is an frugal number, since it uses more digits than its factorization.

18045854023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 18045854023680 in words is "eighteen trillion, forty-five billion, eight hundred fifty-four million, twenty-three thousand, six hundred eighty".