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189864278640 = 24355531271451
BaseRepresentation
bin1011000011010011001…
…0101111101001110000
3200011001222010200200000
42300310302233221300
511102320223404030
6223120014230000
716501004511651
oct2606462575160
9604058120600
10189864278640
1173580487783
12309691b5300
1314b9a49200a
149291d0d528
154e13707860
hex2c34cafa70

189864278640 has 480 divisors, whose sum is σ = 679492509696. Its totient is φ = 49250073600.

The previous prime is 189864278603. The next prime is 189864278713. The reversal of 189864278640 is 46872468981.

189864278640 is a `hidden beast` number, since 1 + 8 + 98 + 6 + 427 + 86 + 40 = 666.

189864278640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 130849915 + ... + 130851365.

Almost surely, 2189864278640 is an apocalyptic number.

189864278640 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 189864278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339746254848).

189864278640 is an abundant number, since it is smaller than the sum of its proper divisors (489628231056).

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

189864278640 is a wasteful number, since it uses less digits than its factorization.

189864278640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 189864278640 in words is "one hundred eighty-nine billion, eight hundred sixty-four million, two hundred seventy-eight thousand, six hundred forty".