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207068299776 = 29331341157179
BaseRepresentation
bin1100000011011000111…
…0111000001000000000
3201210110221112111222000
43000312032320020000
511343033441043101
6235043104144000
720650226335662
oct3006616701000
9653427474860
10207068299776
117a8a9725468
123416a908000
13166ac819a90
14a044b3a532
1555bdc80486
hex30363b8200

207068299776 has 640 divisors, whose sum is σ = 684293702400. Its totient is φ = 61418373120.

The previous prime is 207068299733. The next prime is 207068299783. The reversal of 207068299776 is 677992860702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1156806055 + ... + 1156806233.

It is an arithmetic number, because the mean of its divisors is an integer number (1069208910).

Almost surely, 2207068299776 is an apocalyptic number.

207068299776 is a gapful number since it is divisible by the number (26) 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 207068299776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342146851200).

207068299776 is an abundant number, since it is smaller than the sum of its proper divisors (477225402624).

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

207068299776 is a wasteful number, since it uses less digits than its factorization.

207068299776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 207068299776 in words is "two hundred seven billion, sixty-eight million, two hundred ninety-nine thousand, seven hundred seventy-six".