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10353682112 = 264112731069
BaseRepresentation
bin10011010010010000…
…01010011011000000
3222201120021112202212
421221020022123000
5132201020311422
64431215201252
7514400563064
oct115110123300
928646245685
1010353682112
114433424684
12200b516228
13c90062627
1470310baa4
15408e729e2
hex26920a6c0

10353682112 has 56 divisors (see below), whose sum is σ = 21213104640. Its totient is φ = 5010647040.

The previous prime is 10353682069. The next prime is 10353682117. The reversal of 10353682112 is 21128635301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10353682117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317714 + ... + 348782.

It is an arithmetic number, because the mean of its divisors is an integer number (378805440).

Almost surely, 210353682112 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 10353682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606552320).

10353682112 is an abundant number, since it is smaller than the sum of its proper divisors (10859422528).

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

10353682112 is a wasteful number, since it uses less digits than its factorization.

10353682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31249 (or 31239 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 10353682112 in words is "ten billion, three hundred fifty-three million, six hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 127 164 254 328 508 656 1016 1312 2032 2624 4064 5207 8128 10414 20828 31069 41656 62138 83312 124276 166624 248552 333248 497104 994208 1273829 1988416 2547658 3945763 5095316 7891526 10190632 15783052 20381264 31566104 40762528 63132208 81525056 126264416 161776283 252528832 323552566 647105132 1294210264 2588420528 5176841056 10353682112