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199787290556112 = 2435729929272477
BaseRepresentation
bin101101011011010010011010…
…011110111111011011010000
3222012101110220210021201200000
4231123102122132333123100
5202141303332340243422
61544525003023530000
760040104210010320
oct5533223236773320
9865343823251600
10199787290556112
1158727350090916
121a4a8147459900
138762b25b4040c
143749a83a0d280
151816dd4e5dcac
hexb5b49a7bf6d0

199787290556112 has 480 divisors, whose sum is σ = 686260039046400. Its totient is φ = 55054207401984.

The previous prime is 199787290556107. The next prime is 199787290556123. The reversal of 199787290556112 is 211655092787991.

199787290556112 is a `hidden beast` number, since 19 + 97 + 87 + 290 + 5 + 56 + 112 = 666.

It is a super-2 number, since 2×1997872905561122 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 733090018 + ... + 733362494.

It is an arithmetic number, because the mean of its divisors is an integer number (1429708414680).

Almost surely, 2199787290556112 is an apocalyptic number.

199787290556112 is a gapful number since it is divisible by the number (12) 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 199787290556112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343130019523200).

199787290556112 is an abundant number, since it is smaller than the sum of its proper divisors (486472748490288).

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

199787290556112 is a wasteful number, since it uses less digits than its factorization.

199787290556112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273465 (or 273447 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 72.

The spelling of 199787290556112 in words is "one hundred ninety-nine trillion, seven hundred eighty-seven billion, two hundred ninety million, five hundred fifty-six thousand, one hundred twelve".