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11963930040 = 233556718371
BaseRepresentation
bin10110010010001101…
…10001010110111000
31010212210020121200000
423021012301112320
5144000231230130
65255100313000
7602322504336
oct131106612670
933783217600
1011963930040
11508a365797
12239a842760
131188845a5a
14816d0cb56
154a04e8260
hex2c91b15b8

11963930040 has 192 divisors, whose sum is σ = 40926936960. Its totient is φ = 3142592640.

The previous prime is 11963930023. The next prime is 11963930059. The reversal of 11963930040 is 4003936911.

11963930040 is a `hidden beast` number, since 1 + 19 + 639 + 3 + 0 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11963929977 and 11963930004.

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, 642055 + ... + 660425.

It is an arithmetic number, because the mean of its divisors is an integer number (213161130).

Almost surely, 211963930040 is an apocalyptic number.

11963930040 is a gapful number since it is divisible by the number (10) 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 11963930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20463468480).

11963930040 is an abundant number, since it is smaller than the sum of its proper divisors (28963006920).

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

11963930040 is a wasteful number, since it uses less digits than its factorization.

11963930040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18464 (or 18448 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 11963930040 in words is "eleven billion, nine hundred sixty-three million, nine hundred thirty thousand, forty".