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10336607232 = 21037268669
BaseRepresentation
bin10011010000001110…
…00001110000000000
3222200101011001102220
421220013001300000
5132132132412412
64425405211040
7514102466100
oct115007016000
928611131386
1010336607232
114424822006
122005860a80
13c89664753
14700b45200
154076ed68c
hex2681c1c00

10336607232 has 132 divisors (see below), whose sum is σ = 32049387720. Its totient is φ = 2953273344.

The previous prime is 10336607227. The next prime is 10336607251. The reversal of 10336607232 is 23270663301.

It is a junction number, because it is equal to n+sod(n) for n = 10336607193 and 10336607202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116194 + ... + 184862.

Almost surely, 210336607232 is an apocalyptic number.

10336607232 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 10336607232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16024693860).

10336607232 is an abundant number, since it is smaller than the sum of its proper divisors (21712780488).

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

10336607232 is an equidigital number, since it uses as much as digits as its factorization.

10336607232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68706 (or 68681 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The spelling of 10336607232 in words is "ten billion, three hundred thirty-six million, six hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 18816 21504 25088 37632 50176 68669 75264 137338 150528 206007 274676 412014 480683 549352 824028 961366 1098704 1442049 1648056 1922732 2197408 2884098 3296112 3364781 3845464 4394816 5768196 6592224 6729562 7690928 8789632 10094343 11536392 13184448 13459124 15381856 17579264 20188686 23072784 26368896 26918248 30763712 35158528 40377372 46145568 52737792 53836496 61527424 70317056 80754744 92291136 105475584 107672992 123054848 161509488 184582272 210951168 215345984 246109696 323018976 369164544 430691968 492219392 646037952 738329088 861383936 1292075904 1476658176 1722767872 2584151808 3445535744 5168303616 10336607232