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10285224456 = 23313235932417
BaseRepresentation
bin10011001010000110…
…00001001000001000
3222112210110112112010
421211003001020020
5132031004140311
64420332015520
7512606652063
oct114503011010
928483415463
1010285224456
1143a8817401
121bb06015a0
13c7bb13b40
146d7dab8da
15402e4dda6
hex2650c1208

10285224456 has 128 divisors (see below), whose sum is σ = 28955646720. Its totient is φ = 3020734464.

The previous prime is 10285224449. The next prime is 10285224463. The reversal of 10285224456 is 65442258201.

It is an interprime number because it is at equal distance from previous prime (10285224449) and next prime (10285224463).

It is a super-2 number, since 2×102852244562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4254160 + ... + 4256576.

It is an arithmetic number, because the mean of its divisors is an integer number (226215990).

Almost surely, 210285224456 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 10285224456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

10285224456 is an abundant number, since it is smaller than the sum of its proper divisors (18670422264).

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

10285224456 is a wasteful number, since it uses less digits than its factorization.

10285224456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 10285224456 in words is "ten billion, two hundred eighty-five million, two hundred twenty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 593 598 897 1186 1196 1779 1794 2372 2392 2417 3558 3588 4744 4834 7116 7176 7251 7709 9668 13639 14232 14502 15418 19336 23127 27278 29004 30836 31421 40917 46254 54556 55591 58008 61672 62842 81834 92508 94263 109112 111182 125684 163668 166773 177307 185016 188526 222364 251368 327336 333546 354614 377052 444728 531921 667092 709228 722683 754104 1063842 1334184 1418456 1433281 1445366 2127684 2168049 2866562 2890732 4255368 4299843 4336098 5733124 5781464 8599686 8672196 11466248 17199372 17344392 18632653 32965463 34398744 37265306 55897959 65930926 74530612 98896389 111795918 131861852 149061224 197792778 223591836 263723704 395585556 428551019 447183672 791171112 857102038 1285653057 1714204076 2571306114 3428408152 5142612228 10285224456