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10712036608 = 287213231163
BaseRepresentation
bin10011111100111110…
…01011010100000000
31000122112120211201121
421332133023110000
5133414240132413
64530540042024
7526311544300
oct117637132400
930575524647
1010712036608
1145a7735719
1220ab533314
131019382400
14738951600
1542a65bb8d
hex27e7cb500

10712036608 has 324 divisors, whose sum is σ = 27973104768. Its totient is φ = 4075868160.

The previous prime is 10712036593. The next prime is 10712036609. The reversal of 10712036608 is 80663021701.

10712036608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107120366082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712036609) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 65717935 + ... + 65718097.

Almost surely, 210712036608 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 10712036608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986552384).

10712036608 is an abundant number, since it is smaller than the sum of its proper divisors (17261068160).

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

10712036608 is a wasteful number, since it uses less digits than its factorization.

10712036608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 10712036608 in words is "ten billion, seven hundred twelve million, thirty-six thousand, six hundred eight".