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11949556608 = 27321119311601
BaseRepresentation
bin10110010000011111…
…11100001110000000
31010211210012101000200
423020033330032000
5143433041302413
65253424245200
7602056361313
oct131017741600
933753171020
1011949556608
115082238820
122395a70800
131185882672
1481504a97a
1549e109573
hex2c83fc380

11949556608 has 384 divisors, whose sum is σ = 40785638400. Its totient is φ = 3317760000.

The previous prime is 11949556603. The next prime is 11949556637. The reversal of 11949556608 is 80665594911.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11949556603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7463008 + ... + 7464608.

It is an arithmetic number, because the mean of its divisors is an integer number (106212600).

Almost surely, 211949556608 is an apocalyptic number.

11949556608 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 11949556608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392819200).

11949556608 is an abundant number, since it is smaller than the sum of its proper divisors (28836081792).

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

11949556608 is a wasteful number, since it uses less digits than its factorization.

11949556608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 11949556608 in words is "eleven billion, nine hundred forty-nine million, five hundred fifty-six thousand, six hundred eight".