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10959940992 = 2737111328513
BaseRepresentation
bin10100011010100001…
…10110110110000000
31001021211001200121110
422031100312312000
5134421221102432
65011313323320
7535411650510
oct121520666600
931254050543
1010959940992
114714667980
12215a566540
13105883ccb0
1475d843840
154422c9dcc
hex28d436d80

10959940992 has 256 divisors, whose sum is σ = 39089272320. Its totient is φ = 2627665920.

The previous prime is 10959940991. The next prime is 10959940997. The reversal of 10959940992 is 29904995901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10959940991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370128 + ... + 398640.

It is an arithmetic number, because the mean of its divisors is an integer number (152692470).

Almost surely, 210959940992 is an apocalyptic number.

10959940992 is a gapful number since it is divisible by the number (12) 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 10959940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544636160).

10959940992 is an abundant number, since it is smaller than the sum of its proper divisors (28129331328).

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

10959940992 is a wasteful number, since it uses less digits than its factorization.

10959940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28561 (or 28549 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 57.

The spelling of 10959940992 in words is "ten billion, nine hundred fifty-nine million, nine hundred forty thousand, nine hundred ninety-two".