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10703814912 = 283273179271
BaseRepresentation
bin10011111011111111…
…10100000100000000
31000121222010010200100
421331333310010000
5133410134034122
64530043522400
7526151632320
oct117577640400
930558103610
1010703814912
1145a302a62a
1220a8829400
1310177640bb
14737811280
15429a85aac
hex27dff4100

10703814912 has 432 divisors, whose sum is σ = 37005230080. Its totient is φ = 2911334400.

The previous prime is 10703814883. The next prime is 10703814917. The reversal of 10703814912 is 21941830701.

It is a happy number.

10703814912 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 2×107038149122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10703814917) 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 47 ways as a sum of consecutive naturals, for example, 39497337 + ... + 39497607.

Almost surely, 210703814912 is an apocalyptic number.

10703814912 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 10703814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502615040).

10703814912 is an abundant number, since it is smaller than the sum of its proper divisors (26301415168).

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

10703814912 is a wasteful number, since it uses less digits than its factorization.

10703814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10703814912 in words is "ten billion, seven hundred three million, eight hundred fourteen thousand, nine hundred twelve".