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913630980240 = 2432511292731879
BaseRepresentation
bin11010100101110001010…
…01100110100010010000
310020100020111212121212100
431102320221212202100
5104432104012331430
61535414414400400
7123002425124466
oct15227051464220
93210214777770
10913630980240
11322517963020
12129099200100
13682027b28a4
1432311880836
1518b7406a960
hexd4b8a66890

913630980240 has 720 divisors, whose sum is σ = 3515970856320. Its totient is φ = 210807152640.

The previous prime is 913630980239. The next prime is 913630980253. The reversal of 913630980240 is 42089036319.

It is a happy number.

913630980240 is a `hidden beast` number, since 9 + 1 + 3 + 630 + 9 + 8 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 486231621 + ... + 486233499.

It is an arithmetic number, because the mean of its divisors is an integer number (4883292856).

Almost surely, 2913630980240 is an apocalyptic number.

913630980240 is a gapful number since it is divisible by the number (90) 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 913630980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757985428160).

913630980240 is an abundant number, since it is smaller than the sum of its proper divisors (2602339876080).

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

913630980240 is a wasteful number, since it uses less digits than its factorization.

913630980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 913630980240 in words is "nine hundred thirteen billion, six hundred thirty million, nine hundred eighty thousand, two hundred forty".