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11416475070 = 23357111353797
BaseRepresentation
bin10101010000111100…
…11001010110111110
31002110122010000122000
422220132121112332
5141340104200240
65124502403130
7552624302610
oct125036312676
932418100560
1011416475070
114929336770
1222674304a6
1310cc2b6ac0
147a4322db0
1546c409430
hex2a87995be

11416475070 has 512 divisors, whose sum is σ = 41699266560. Its totient is φ = 2145761280.

The previous prime is 11416475039. The next prime is 11416475093. The reversal of 11416475070 is 7057461411.

11416475070 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 647 + 5 + 0 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14323912 + ... + 14324708.

It is an arithmetic number, because the mean of its divisors is an integer number (81443880).

Almost surely, 211416475070 is an apocalyptic number.

11416475070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11416475070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849633280).

11416475070 is an abundant number, since it is smaller than the sum of its proper divisors (30282791490).

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

11416475070 is a wasteful number, since it uses less digits than its factorization.

11416475070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11416475070 in words is "eleven billion, four hundred sixteen million, four hundred seventy-five thousand, seventy".