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189149870520 = 233351356923677
BaseRepresentation
bin1011000000101000110…
…1011111100110111000
3200002020011211222222000
42300022031133212320
511044334331324040
6222521054101000
716444211241312
oct2601215374670
9602204758860
10189149870520
1173244197346
12307a9aaa760
1314ab5479810
1492250a47b2
154dc0b3b130
hex2c0a35f9b8

189149870520 has 256 divisors, whose sum is σ = 680221584000. Its totient is φ = 46476177408.

The previous prime is 189149870509. The next prime is 189149870521. The reversal of 189149870520 is 25078941981.

It is a happy number.

189149870520 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 49 + 8 + 70 + 520 = 666.

189149870520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189149870521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7976922 + ... + 8000598.

Almost surely, 2189149870520 is an apocalyptic number.

189149870520 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 189149870520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340110792000).

189149870520 is an abundant number, since it is smaller than the sum of its proper divisors (491071713480).

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

189149870520 is a wasteful number, since it uses less digits than its factorization.

189149870520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24279 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 189149870520 in words is "one hundred eighty-nine billion, one hundred forty-nine million, eight hundred seventy thousand, five hundred twenty".