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10379093760 = 2836572227
BaseRepresentation
bin10011010101010010…
…00110011100000000
3222210100002121000000
421222221012130000
5132224022000020
64433524000000
7515126561400
oct115251063400
928710077000
1010379093760
114446800842
122017b30000
13c953bbcc9
14706644800
1540b2e2090
hex26aa46700

10379093760 has 756 divisors, whose sum is σ = 43551389448. Its totient is φ = 2361913344.

The previous prime is 10379093743. The next prime is 10379093773. The reversal of 10379093760 is 6739097301.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45722767 + ... + 45722993.

It is an arithmetic number, because the mean of its divisors is an integer number (57607658).

Almost surely, 210379093760 is an apocalyptic number.

10379093760 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 10379093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21775694724).

10379093760 is an abundant number, since it is smaller than the sum of its proper divisors (33172295688).

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

10379093760 is an frugal number, since it uses more digits than its factorization.

10379093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The spelling of 10379093760 in words is "ten billion, three hundred seventy-nine million, ninety-three thousand, seven hundred sixty".