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15949049040 = 2434513917707
BaseRepresentation
bin11101101101010001…
…10010110011010000
31112011111221122020000
432312220302303100
5230130424032130
611154335250000
71103142452151
oct166650626320
945144848200
1015949049040
116844905671
123111379900
131672357032
14ab42ab928
156352ce260
hex3b6a32cd0

15949049040 has 200 divisors, whose sum is σ = 55795074720. Its totient is φ = 4222243584.

The previous prime is 15949048961. The next prime is 15949049047. The reversal of 15949049040 is 4094094951.

15949049040 is a `hidden beast` number, since 159 + 4 + 9 + 0 + 490 + 4 + 0 = 666.

15949049040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15949049047) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 891867 + ... + 909573.

Almost surely, 215949049040 is an apocalyptic number.

15949049040 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 15949049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27897537360).

15949049040 is an abundant number, since it is smaller than the sum of its proper divisors (39846025680).

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

15949049040 is a wasteful number, since it uses less digits than its factorization.

15949049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17871 (or 17856 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 15949049040 in words is "fifteen billion, nine hundred forty-nine million, forty-nine thousand, forty".