Search a number
-
+
18153183186 = 23319229163197
BaseRepresentation
bin10000111010000000…
…111001011111010010
31201212010102020212000
4100322000321133102
5244134203330221
612201153414430
71211565340215
oct207200713722
951763366760
1018153183186
117775aa9236
12362756a416
131933ba5318
14c42d0377c
15713a65e26
hex43a0397d2

18153183186 has 192 divisors, whose sum is σ = 44538595200. Its totient is φ = 5473028736.

The previous prime is 18153183179. The next prime is 18153183229. The reversal of 18153183186 is 68138135181.

18153183186 is a `hidden beast` number, since 1 + 8 + 1 + 531 + 8 + 31 + 86 = 666.

It is a super-2 number, since 2×181531831862 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92148040 + ... + 92148236.

It is an arithmetic number, because the mean of its divisors is an integer number (231971850).

Almost surely, 218153183186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18153183186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22269297600).

18153183186 is an abundant number, since it is smaller than the sum of its proper divisors (26385412014).

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

18153183186 is a wasteful number, since it uses less digits than its factorization.

18153183186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 18153183186 in words is "eighteen billion, one hundred fifty-three million, one hundred eighty-three thousand, one hundred eighty-six".