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10286245344 = 2534319312911
BaseRepresentation
bin10011001010001101…
…11010010111100000
3222112212101101220210
421211012322113200
5132031234322334
64420405534120
7512621433324
oct114506722740
928485341823
1010286245344
1143a9354411
121bb0a14340
13c7c0b070b
146d8195984
154030a15e9
hex2651ba5e0

10286245344 has 96 divisors (see below), whose sum is σ = 27774641664. Its totient is φ = 3331399680.

The previous prime is 10286245309. The next prime is 10286245373. The reversal of 10286245344 is 44354268201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 790249 + ... + 803159.

It is an arithmetic number, because the mean of its divisors is an integer number (289319184).

Almost surely, 210286245344 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 10286245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887320832).

10286245344 is an abundant number, since it is smaller than the sum of its proper divisors (17488396320).

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

10286245344 is a wasteful number, since it uses less digits than its factorization.

10286245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 10286245344 in words is "ten billion, two hundred eighty-six million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 193 258 344 386 516 579 688 772 1032 1158 1376 1544 2064 2316 3088 4128 4632 6176 8299 9264 12911 16598 18528 24897 25822 33196 38733 49794 51644 66392 77466 99588 103288 132784 154932 199176 206576 265568 309864 398352 413152 555173 619728 796704 1110346 1239456 1665519 2220692 2491823 3331038 4441384 4983646 6662076 7475469 8882768 9967292 13324152 14950938 17765536 19934584 26648304 29901876 39869168 53296608 59803752 79738336 107148389 119607504 214296778 239215008 321445167 428593556 642890334 857187112 1285780668 1714374224 2571561336 3428748448 5143122672 10286245344