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10293623232 = 263891374397
BaseRepresentation
bin10011001011000110…
…00011100111000000
3222120101021020110220
421211203003213000
5132040131420412
64421232023040
7513041232234
oct114543034700
928511236426
1010293623232
114402533542
121bb3391a80
13c80794929
146d91565c4
15403a5c68c
hex2658c39c0

10293623232 has 112 divisors (see below), whose sum is σ = 27748565280. Its totient is φ = 3367124992.

The previous prime is 10293623213. The next prime is 10293623317. The reversal of 10293623232 is 23232639201.

It is a junction number, because it is equal to n+sod(n) for n = 10293623193 and 10293623202.

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, 2338858 + ... + 2343254.

Almost surely, 210293623232 is an apocalyptic number.

10293623232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10293623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874282640).

10293623232 is an abundant number, since it is smaller than the sum of its proper divisors (17454942048).

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

10293623232 is a wasteful number, since it uses less digits than its factorization.

10293623232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 10293623232 in words is "ten billion, two hundred ninety-three million, six hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 137 178 192 267 274 356 411 534 548 712 822 1068 1096 1424 1644 2136 2192 2848 3288 4272 4384 4397 5696 6576 8544 8768 8794 12193 13152 13191 17088 17588 24386 26304 26382 35176 36579 48772 52764 70352 73158 97544 105528 140704 146316 195088 211056 281408 292632 390176 391333 422112 585264 602389 780352 782666 844224 1170528 1173999 1204778 1565332 1807167 2341056 2347998 2409556 3130664 3614334 4695996 4819112 6261328 7228668 9391992 9638224 12522656 14457336 18783984 19276448 25045312 28914672 37567968 38552896 53612621 57829344 75135936 107225242 115658688 160837863 214450484 321675726 428900968 643351452 857801936 1286702904 1715603872 2573405808 3431207744 5146811616 10293623232