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10274315364 = 22321756329819
BaseRepresentation
bin10011001000110010…
…11001110001100100
3222112000221022001200
421210121121301210
5132020211042424
64415302122500
7512415145125
oct114431316144
928460838050
1010274315364
1143a2646225
121ba8a20430
13c79794561
146d676c04c
15401ee68c9
hex264659c64

10274315364 has 72 divisors (see below), whose sum is σ = 27548670240. Its totient is φ = 3217481472.

The previous prime is 10274315353. The next prime is 10274315383. The reversal of 10274315364 is 46351347201.

10274315364 is a `hidden beast` number, since 10 + 274 + 3 + 15 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329647 + ... + 359465.

It is an arithmetic number, because the mean of its divisors is an integer number (382620420).

Almost surely, 210274315364 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 10274315364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774335120).

10274315364 is an abundant number, since it is smaller than the sum of its proper divisors (17274354876).

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

10274315364 is a wasteful number, since it uses less digits than its factorization.

10274315364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30409 (or 30404 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10274315364 in words is "ten billion, two hundred seventy-four million, three hundred fifteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 563 612 1126 1689 2252 3378 5067 6756 9571 10134 19142 20268 28713 29819 38284 57426 59638 86139 89457 114852 119276 172278 178914 268371 344556 357828 506923 536742 1013846 1073484 1520769 2027692 3041538 4562307 6083076 9124614 16788097 18249228 33576194 50364291 67152388 100728582 151092873 201457164 285397649 302185746 570795298 604371492 856192947 1141590596 1712385894 2568578841 3424771788 5137157682 10274315364