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10766950272 = 2734131737127
BaseRepresentation
bin10100000011100001…
…01001111110000000
31000210100220202010000
422001300221332000
5134022314402042
64540221040000
7530546365401
oct120160517600
930710822100
1010766950272
114625732111
1221059b6000
13102786b1c0
14741d679a8
154303a774c
hex281c29f80

10766950272 has 640 divisors, whose sum is σ = 37819837440. Its totient is φ = 3009871872.

The previous prime is 10766950261. The next prime is 10766950283. The reversal of 10766950272 is 27205966701.

10766950272 is a `hidden beast` number, since 1 + 0 + 76 + 6 + 9 + 502 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (10766950261) and next prime (10766950283).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 84779073 + ... + 84779199.

It is an arithmetic number, because the mean of its divisors is an integer number (59093496).

Almost surely, 210766950272 is an apocalyptic number.

10766950272 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 10766950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909918720).

10766950272 is an abundant number, since it is smaller than the sum of its proper divisors (27052887168).

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

10766950272 is a wasteful number, since it uses less digits than its factorization.

10766950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10766950272 in words is "ten billion, seven hundred sixty-six million, nine hundred fifty thousand, two hundred seventy-two".