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189427652640 = 253253112733413
BaseRepresentation
bin1011000001101011000…
…1001001100000100000
3200002221112112210101200
42300122301021200200
511100421434341030
6223004420001200
716454123323602
oct2603261114040
9602845483350
10189427652640
1173376a76146
1230866b30200
1314b2ab98835
14924dd33172
154dda20bd60
hex2c1ac49820

189427652640 has 288 divisors, whose sum is σ = 672548438016. Its totient is φ = 48498186240.

The previous prime is 189427652633. The next prime is 189427652653. The reversal of 189427652640 is 46256724981.

189427652640 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 2 + 76 + 526 + 40 = 666.

189427652640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5652574 + ... + 5685986.

It is an arithmetic number, because the mean of its divisors is an integer number (2335237632).

Almost surely, 2189427652640 is an apocalyptic number.

189427652640 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 189427652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336274219008).

189427652640 is an abundant number, since it is smaller than the sum of its proper divisors (483120785376).

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

189427652640 is a wasteful number, since it uses less digits than its factorization.

189427652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33592 (or 33581 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 189427652640 in words is "one hundred eighty-nine billion, four hundred twenty-seven million, six hundred fifty-two thousand, six hundred forty".