Search a number
-
+
238774304090880 = 2832552339630853
BaseRepresentation
bin110110010010100111111001…
…100100111010101100000000
31011022102121012210110112020200
4312102213321210322230000
5222244034233321402010
62203455222340405200
7101202605563141335
oct6622477144725400
91138377183415220
10238774304090880
116a09868290a4a8
12229440873a6800
13a3304217c909c
1442d6a4903a98c
151c91103287cc0
hexd929f993ab00

238774304090880 has 216 divisors, whose sum is σ = 827713847255568. Its totient is φ = 63551400173568.

The previous prime is 238774304090843. The next prime is 238774304090887. The reversal of 238774304090880 is 88090403477832.

238774304090880 is a `hidden beast` number, since 2 + 3 + 8 + 77 + 430 + 40 + 90 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×2387743040908803 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (238774304090887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13790467 + ... + 25840386.

Almost surely, 2238774304090880 is an apocalyptic number.

238774304090880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238774304090880 is an abundant number, since it is smaller than the sum of its proper divisors (588939543164688).

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

238774304090880 is a wasteful number, since it uses less digits than its factorization.

238774304090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39631403 (or 39631386 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 238774304090880 in words is "two hundred thirty-eight trillion, seven hundred seventy-four billion, three hundred four million, ninety thousand, eight hundred eighty".