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11990042460 = 223251122941463
BaseRepresentation
bin10110010101010100…
…11000011101011100
31010221121101021011200
423022222120131130
5144023422324320
65301432115500
7603060452004
oct131252303534
933847337150
1011990042460
1150a3080400
1223a7535b90
1311910893a6
1481a589004
154a2955290
hex2caa9875c

11990042460 has 432 divisors, whose sum is σ = 42455387520. Its totient is φ = 2732083200.

The previous prime is 11990042459. The next prime is 11990042479. The reversal of 11990042460 is 6424009911.

It is a happy number.

11990042460 is a `hidden beast` number, since 1 + 199 + 0 + 0 + 4 + 2 + 460 = 666.

11990042460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×119900424602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 25896189 + ... + 25896651.

It is an arithmetic number, because the mean of its divisors is an integer number (98276360).

Almost surely, 211990042460 is an apocalyptic number.

11990042460 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 11990042460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21227693760).

11990042460 is an abundant number, since it is smaller than the sum of its proper divisors (30465345060).

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

11990042460 is a wasteful number, since it uses less digits than its factorization.

11990042460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11990042460 in words is "eleven billion, nine hundred ninety million, forty-two thousand, four hundred sixty".