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11740099392 = 2633719232221
BaseRepresentation
bin10101110111100001…
…11011001101000000
31010022012001211202000
422323300323031000
5143020431140032
65220543024000
7563634125010
oct127360731500
933265054660
1011740099392
114a84a8648a
12233789b000
131151366898
147d52c5c40
1548aa32e7c
hex2bbc3b340

11740099392 has 448 divisors, whose sum is σ = 43344998400. Its totient is φ = 3038238720.

The previous prime is 11740099363. The next prime is 11740099409. The reversal of 11740099392 is 29399004711.

11740099392 is a `hidden beast` number, since 1 + 174 + 0 + 0 + 99 + 392 = 666.

11740099392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×117400993923 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5284842 + ... + 5287062.

Almost surely, 211740099392 is an apocalyptic number.

11740099392 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 11740099392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21672499200).

11740099392 is an abundant number, since it is smaller than the sum of its proper divisors (31604899008).

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

11740099392 is a wasteful number, since it uses less digits than its factorization.

11740099392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11740099392 in words is "eleven billion, seven hundred forty million, ninety-nine thousand, three hundred ninety-two".