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186980794000 = 245371113591583
BaseRepresentation
bin1010111000100011101…
…1000111111010010000
3122212122000100111100121
42232020323013322100
511030414040402000
6221521531200024
716336362345130
oct2561073077220
9585560314317
10186980794000
1172330869020
12302a35a6014
131482ac845a0
14909ad96ac0
154ce54cbb1a
hex2b88ec7e90

186980794000 has 640 divisors, whose sum is σ = 617720463360. Its totient is φ = 52851456000.

The previous prime is 186980793959. The next prime is 186980794003. The reversal of 186980794000 is 497089681.

It is a happy number.

186980794000 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 (52).

It is not an unprimeable number, because it can be changed into a prime (186980794003) 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 127 ways as a sum of consecutive naturals, for example, 118117209 + ... + 118118791.

It is an arithmetic number, because the mean of its divisors is an integer number (965188224).

Almost surely, 2186980794000 is an apocalyptic number.

186980794000 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 186980794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308860231680).

186980794000 is an abundant number, since it is smaller than the sum of its proper divisors (430739669360).

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

186980794000 is a wasteful number, since it uses less digits than its factorization.

186980794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 186980794000 in words is "one hundred eighty-six billion, nine hundred eighty million, seven hundred ninety-four thousand".