Search a number
-
+
18432025920 = 2632571183117
BaseRepresentation
bin10001001010101000…
…100110010101000000
31202120120002221011200
4101022220212111000
5300222044312140
612244554141200
71221522430620
oct211250462500
952516087150
1018432025920
1178a9441980
1236a4a21800
1319798a6019
14c6bd6a880
1572d296030
hex44aa26540

18432025920 has 336 divisors, whose sum is σ = 79043223168. Its totient is φ = 3829985280.

The previous prime is 18432025919. The next prime is 18432025933. The reversal of 18432025920 is 2952023481.

It is a happy number.

18432025920 is a `hidden beast` number, since 1 + 8 + 43 + 20 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180202 + ... + 263318.

It is an arithmetic number, because the mean of its divisors is an integer number (235247688).

Almost surely, 218432025920 is an apocalyptic number.

18432025920 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 18432025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39521611584).

18432025920 is an abundant number, since it is smaller than the sum of its proper divisors (60611197248).

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

18432025920 is a wasteful number, since it uses less digits than its factorization.

18432025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83158 (or 83145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 184320 and 25920, that multiplied together give a square (4777574400 = 691202).

The spelling of 18432025920 in words is "eighteen billion, four hundred thirty-two million, twenty-five thousand, nine hundred twenty".