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199372450799808 = 263211134019916091
BaseRepresentation
bin101101010101010000000100…
…000110111010000011000000
3222010220211010220002122000100
4231111100010012322003000
5202113004234401043213
61544010234532122400
756665120122162546
oct5525200406720300
9863824126078010
10199372450799808
1158587421935a10
121a43b872466400
138732983c306b0
14373396ca19d96
15180b205855773
hexb554041ba0c0

199372450799808 has 672 divisors, whose sum is σ = 673835635759104. Its totient is φ = 55564185600000.

The previous prime is 199372450799783. The next prime is 199372450799903. The reversal of 199372450799808 is 808997054273991.

199372450799808 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 7 + 2 + 450 + 79 + 98 + 0 + 8 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 32732298843 + ... + 32732304933.

It is an arithmetic number, because the mean of its divisors is an integer number (1002731600832).

Almost surely, 2199372450799808 is an apocalyptic number.

199372450799808 is a gapful number since it is divisible by the number (18) 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 199372450799808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336917817879552).

199372450799808 is an abundant number, since it is smaller than the sum of its proper divisors (474463184959296).

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

199372450799808 is a wasteful number, since it uses less digits than its factorization.

199372450799808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 199372450799808 in words is "one hundred ninety-nine trillion, three hundred seventy-two billion, four hundred fifty million, seven hundred ninety-nine thousand, eight hundred eight".