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11945965536 = 25364311909
BaseRepresentation
bin10110010000000100…
…01111011111100000
31010211112102221000000
423020002033133200
5143431131344121
65253215300000
7602014013601
oct131002173740
933745387000
1011945965536
11508020579a
12239481a600
131184bc5c7b
14814793da8
1549db4a526
hex2c808f7e0

11945965536 has 168 divisors, whose sum is σ = 36084870360. Its totient is φ = 3889057536.

The previous prime is 11945965519. The next prime is 11945965541. The reversal of 11945965536 is 63556954911.

11945965536 is a `hidden beast` number, since 1 + 1 + 9 + 45 + 9 + 65 + 536 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 997150 + ... + 1009058.

It is an arithmetic number, because the mean of its divisors is an integer number (214790895).

Almost surely, 211945965536 is an apocalyptic number.

11945965536 is a gapful number since it is divisible by the number (16) 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 11945965536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042435180).

11945965536 is an abundant number, since it is smaller than the sum of its proper divisors (24138904824).

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

11945965536 is an equidigital number, since it uses as much as digits as its factorization.

11945965536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11957 counting only the distinct ones).

The product of its digits is 4374000, while the sum is 54.

The spelling of 11945965536 in words is "eleven billion, nine hundred forty-five million, nine hundred sixty-five thousand, five hundred thirty-six".