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10210257928 = 2313532118779
BaseRepresentation
bin10011000001001010…
…00010110000001000
3222100120101211210001
421200211002300020
5131402311223203
64405053132344
7511006521553
oct114045026010
928316354701
1010210257928
11436a4739a2
121b8b48a0b4
13c69426850
146cc05569a
153eb59191d
hex260942c08

10210257928 has 64 divisors (see below), whose sum is σ = 21107822400. Its totient is φ = 4601076480.

The previous prime is 10210257901. The next prime is 10210257973. The reversal of 10210257928 is 82975201201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158643 + ... + 1167421.

It is an arithmetic number, because the mean of its divisors is an integer number (329809725).

Almost surely, 210210257928 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 10210257928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10553911200).

10210257928 is an abundant number, since it is smaller than the sum of its proper divisors (10897564472).

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

10210257928 is a wasteful number, since it uses less digits than its factorization.

10210257928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9062 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 10210257928 in words is "ten billion, two hundred ten million, two hundred fifty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 211 212 422 424 689 844 1378 1688 2743 2756 5486 5512 8779 10972 11183 17558 21944 22366 35116 44732 70232 89464 114127 145379 228254 290758 456508 465287 581516 913016 930574 1163032 1852369 1861148 3704738 3722296 6048731 7409476 12097462 14818952 24080797 24194924 48161594 48389848 96323188 98175557 192646376 196351114 392702228 785404456 1276282241 2552564482 5105128964 10210257928