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189806374656 = 283523532503
BaseRepresentation
bin1011000011000101010…
…1110110111100000000
3200010220221011212100000
42300301111312330000
511102210412442111
6223110145200000
716466402364453
oct2606125667400
9603827155300
10189806374656
1173550828648
1230951930000
1314b8b49a0c2
14928835949a
154e0d5bac56
hex2c31576f00

189806374656 has 432 divisors, whose sum is σ = 603617204736. Its totient is φ = 59352403968.

The previous prime is 189806374601. The next prime is 189806374657. The reversal of 189806374656 is 656473608981.

189806374656 is a `hidden beast` number, since 189 + 80 + 6 + 374 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 189806374593 and 189806374602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189806374657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75830301 + ... + 75832803.

It is an arithmetic number, because the mean of its divisors is an integer number (1397262048).

Almost surely, 2189806374656 is an apocalyptic number.

189806374656 is a gapful number since it is divisible by the number (16) 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 189806374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301808602368).

189806374656 is an abundant number, since it is smaller than the sum of its proper divisors (413810830080).

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

189806374656 is an equidigital number, since it uses as much as digits as its factorization.

189806374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 189806374656 in words is "one hundred eighty-nine billion, eight hundred six million, three hundred seventy-four thousand, six hundred fifty-six".