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189479226720 = 253571931671429
BaseRepresentation
bin1011000001110111010…
…1111000110101100000
3200010002010121000201210
42300131311320311200
511101023140223340
6223013501230120
716455320565420
oct2603565706540
9603063530653
10189479226720
11733a30a1553
1230880262340
1314b38785544
149256b1a480
154dde9e8180
hex2c1dd78d60

189479226720 has 768 divisors, whose sum is σ = 752777625600. Its totient is φ = 39086530560.

The previous prime is 189479226619. The next prime is 189479226791. The reversal of 189479226720 is 27622974981.

189479226720 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 (57).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 132594966 + ... + 132596394.

It is an arithmetic number, because the mean of its divisors is an integer number (980179200).

Almost surely, 2189479226720 is an apocalyptic number.

189479226720 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 189479226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376388812800).

189479226720 is an abundant number, since it is smaller than the sum of its proper divisors (563298398880).

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

189479226720 is a wasteful number, since it uses less digits than its factorization.

189479226720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 189479226720 in words is "one hundred eighty-nine billion, four hundred seventy-nine million, two hundred twenty-six thousand, seven hundred twenty".