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189496788151968 = 253311231794843001
BaseRepresentation
bin101011000101100010101000…
…101111100110111010100000
3220211221201022222112022022000
4223011202220233212322200
5144314203410231330333
61511005342300044000
754625456030543233
oct5305425057467240
9824851288468260
10189496788151968
115541a155816980
12193058b6b33600
1381976167592cb
1434b199ccc141a
1516d93a6579713
hexac58a8be6ea0

189496788151968 has 384 divisors, whose sum is σ = 632674283673600. Its totient is φ = 54619741440000.

The previous prime is 189496788151871. The next prime is 189496788152011. The reversal of 189496788151968 is 869151887694981.

189496788151968 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 9 + 6 + 7 + 8 + 81 + 519 + 6 + 8 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36706468 + ... + 41549468.

It is an arithmetic number, because the mean of its divisors is an integer number (1647589280400).

Almost surely, 2189496788151968 is an apocalyptic number.

189496788151968 is a gapful number since it is divisible by the number (18) 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 189496788151968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316337141836800).

189496788151968 is an abundant number, since it is smaller than the sum of its proper divisors (443177495521632).

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

189496788151968 is a wasteful number, since it uses less digits than its factorization.

189496788151968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843233 (or 4843219 counting only the distinct ones).

The product of its digits is 15049359360, while the sum is 90.

The spelling of 189496788151968 in words is "one hundred eighty-nine trillion, four hundred ninety-six billion, seven hundred eighty-eight million, one hundred fifty-one thousand, nine hundred sixty-eight".