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10377928704 = 213311132953
BaseRepresentation
bin10011010101001001…
…01010000000000000
3222210020220101211210
421222210222000000
5132223222204304
64433443010120
7515113636623
oct115244520000
928706811753
1010377928704
114446085490
122017669940
13c950a1920
1470641ddba
1540b161c89
hex26a92a000

10377928704 has 224 divisors, whose sum is σ = 32521696704. Its totient is φ = 2901934080.

The previous prime is 10377928703. The next prime is 10377928709. The reversal of 10377928704 is 40782977301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10377928703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3512892 + ... + 3515844.

It is an arithmetic number, because the mean of its divisors is an integer number (145186146).

Almost surely, 210377928704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10377928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260848352).

10377928704 is an abundant number, since it is smaller than the sum of its proper divisors (22143768000).

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

10377928704 is a wasteful number, since it uses less digits than its factorization.

10377928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 10377928704 in words is "ten billion, three hundred seventy-seven million, nine hundred twenty-eight thousand, seven hundred four".