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11416850928 = 24327101127883
BaseRepresentation
bin10101010000111111…
…10101000111110000
31002110122211010012200
422220133311013300
5141340203212203
65124514423200
7552630426450
oct125037650760
932418733180
1011416850928
11492957309a
122267591b00
1310cc3b8bc2
147a43bdd60
1546c4809a3
hex2a87f51f0

11416850928 has 240 divisors, whose sum is σ = 37209808896. Its totient is φ = 3200601600.

The previous prime is 11416850911. The next prime is 11416850933. The reversal of 11416850928 is 82905861411.

It is a happy number.

11416850928 is a `hidden beast` number, since 114 + 1 + 6 + 8 + 509 + 28 = 666.

It is a super-2 number, since 2×114168509282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12929175 + ... + 12930057.

Almost surely, 211416850928 is an apocalyptic number.

11416850928 is a gapful number since it is divisible by the number (18) 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 11416850928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604904448).

11416850928 is an abundant number, since it is smaller than the sum of its proper divisors (25792957968).

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

11416850928 is a wasteful number, since it uses less digits than its factorization.

11416850928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11416850928 in words is "eleven billion, four hundred sixteen million, eight hundred fifty thousand, nine hundred twenty-eight".