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208198590112 = 252931107239283
BaseRepresentation
bin1100000111100110011…
…0100101111010100000
3201220101201101012211001
43001321212211322200
511402342314340422
6235351202201344
721020232550042
oct3017146457240
9656351335731
10208198590112
1180329749307
1234425353254
131682ca44926
14a110cc1a92
1556380eb227
hex30799a5ea0

208198590112 has 192 divisors, whose sum is σ = 445210214400. Its totient is φ = 95616138240.

The previous prime is 208198590107. The next prime is 208198590133. The reversal of 208198590112 is 211095891802.

It is a happy number.

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, 735683923 + ... + 735684205.

It is an arithmetic number, because the mean of its divisors is an integer number (2318803200).

Almost surely, 2208198590112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208198590112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222605107200).

208198590112 is an abundant number, since it is smaller than the sum of its proper divisors (237011624288).

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

208198590112 is a wasteful number, since it uses less digits than its factorization.

208198590112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 46.

The spelling of 208198590112 in words is "two hundred eight billion, one hundred ninety-eight million, five hundred ninety thousand, one hundred twelve".