Search a number
-
+
18192860136 = 23321123124153
BaseRepresentation
bin10000111100011000…
…010000001111101000
31201221220002001101200
4100330120100033220
5244224333011021
612205132044200
71212556521363
oct207430201750
951856061350
1018192860136
117796439100
123638903660
13193c187ac9
14c482b10da
157172a2126
hex43c6103e8

18192860136 has 432 divisors, whose sum is σ = 58408835940. Its totient is φ = 5106816000.

The previous prime is 18192860129. The next prime is 18192860143. The reversal of 18192860136 is 63106829181.

18192860136 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 2 + 8 + 601 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (18192860129) and next prime (18192860143).

It can be written as a sum of positive squares in 2 ways, for example, as 17686340100 + 506520036 = 132990^2 + 22506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18192860091 and 18192860100.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 343261486 + ... + 343261538.

Almost surely, 218192860136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18192860136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29204417970).

18192860136 is an abundant number, since it is smaller than the sum of its proper divisors (40215975804).

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

18192860136 is a wasteful number, since it uses less digits than its factorization.

18192860136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 181928 and 60136, that added together give a square (242064 = 4922).

The spelling of 18192860136 in words is "eighteen billion, one hundred ninety-two million, eight hundred sixty thousand, one hundred thirty-six".