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190752398928 = 2435713539141
BaseRepresentation
bin1011000110100110111…
…0101001111001010000
3200020100212021212200000
42301221232221321100
511111130103231203
6223344101530000
716532010431640
oct2615156517120
9606325255600
10190752398928
1173996835693
1230b76713900
1314cac489390
149337c56520
154e666894a3
hex2c69ba9e50

190752398928 has 240 divisors, whose sum is σ = 681371972736. Its totient is φ = 50308231680.

The previous prime is 190752398891. The next prime is 190752398929. The reversal of 190752398928 is 829893257091.

190752398928 is a `hidden beast` number, since 1 + 9 + 0 + 7 + 523 + 9 + 89 + 28 = 666.

190752398928 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190752398929) 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 47 ways as a sum of consecutive naturals, for example, 84238 + ... + 623378.

Almost surely, 2190752398928 is an apocalyptic number.

190752398928 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 190752398928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340685986368).

190752398928 is an abundant number, since it is smaller than the sum of its proper divisors (490619573808).

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

190752398928 is a wasteful number, since it uses less digits than its factorization.

190752398928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539184 (or 539166 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 190752398928 in words is "one hundred ninety billion, seven hundred fifty-two million, three hundred ninety-eight thousand, nine hundred twenty-eight".