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189133138080 = 25335149293831
BaseRepresentation
bin1011000000100100110…
…1101010100010100000
3200002012000100220101000
42300021031222202200
511044321040404310
6222515255312000
716443616101555
oct2601115524240
9602160326330
10189133138080
11732357a8a87
12307a437b600
1314ab1b6b773
149222b8aa2c
154dbe4334c0
hex2c0936a8a0

189133138080 has 192 divisors, whose sum is σ = 666410976000. Its totient is φ = 50096839680.

The previous prime is 189133138079. The next prime is 189133138097. The reversal of 189133138080 is 80831331981.

189133138080 is a `hidden beast` number, since 189 + 1 + 3 + 313 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496765 + ... + 790595.

It is an arithmetic number, because the mean of its divisors is an integer number (3470890500).

Almost surely, 2189133138080 is an apocalyptic number.

189133138080 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 189133138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333205488000).

189133138080 is an abundant number, since it is smaller than the sum of its proper divisors (477277837920).

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

189133138080 is a wasteful number, since it uses less digits than its factorization.

189133138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294004 (or 293990 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 189133138080 in words is "one hundred eighty-nine billion, one hundred thirty-three million, one hundred thirty-eight thousand, eighty".