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199859660000 = 25547111367149
BaseRepresentation
bin1011101000100010010…
…0000110010011100000
3201002212120012200012122
42322020210012103200
511233303033110000
6231451514043412
720303465036330
oct2721044062340
9632776180178
10199859660000
117783a627730
1232898719568
1315b01223160
14995d5cd0c0
1552eaea2085
hex2e889064e0

199859660000 has 960 divisors, whose sum is σ = 674514086400. Its totient is φ = 56263680000.

The previous prime is 199859659997. The next prime is 199859660083. The reversal of 199859660000 is 66958991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1341339926 + ... + 1341340074.

It is an arithmetic number, because the mean of its divisors is an integer number (702618840).

Almost surely, 2199859660000 is an apocalyptic number.

199859660000 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 199859660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337257043200).

199859660000 is an abundant number, since it is smaller than the sum of its proper divisors (474654426400).

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

199859660000 is a wasteful number, since it uses less digits than its factorization.

199859660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 53.

The spelling of 199859660000 in words is "one hundred ninety-nine billion, eight hundred fifty-nine million, six hundred sixty thousand".