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11882739960 = 23335713120907
BaseRepresentation
bin10110001000100010…
…00011100011111000
31010200010110201211000
423010101003203320
5143313440134320
65243040205000
7600315423510
oct130421034370
933603421730
1011882739960
115048551453
122377609760
131174a89aa0
1480a216840
1549830bc90
hex2c44438f8

11882739960 has 256 divisors, whose sum is σ = 48750105600. Its totient is φ = 2507106816.

The previous prime is 11882739943. The next prime is 11882739961. The reversal of 11882739960 is 6993728811.

11882739960 is a `hidden beast` number, since 118 + 82 + 7 + 399 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11882739897 and 11882739906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882739961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37827 + ... + 158733.

It is an arithmetic number, because the mean of its divisors is an integer number (190430100).

Almost surely, 211882739960 is an apocalyptic number.

11882739960 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 11882739960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24375052800).

11882739960 is an abundant number, since it is smaller than the sum of its proper divisors (36867365640).

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

11882739960 is a wasteful number, since it uses less digits than its factorization.

11882739960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120947 (or 120937 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11882739960 in words is "eleven billion, eight hundred eighty-two million, seven hundred thirty-nine thousand, nine hundred sixty".