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10233461056 = 267213219309
BaseRepresentation
bin10011000011111011…
…00011100101000000
3222102012001200111011
421201331203211000
5131424231223211
64411242330304
7511410661300
oct114175434500
928365050434
1010233461056
114381581835
121b971b9994
13c7118bc00
146d1175600
153ed626921
hex261f63940

10233461056 has 126 divisors (see below), whose sum is σ = 25580671470. Its totient is φ = 4048192512.

The previous prime is 10233461041. The next prime is 10233461141. The reversal of 10233461056 is 65016433201.

It can be written as a sum of positive squares in 3 ways, for example, as 408686656 + 9824774400 = 20216^2 + 99120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 520330 + ... + 539638.

Almost surely, 210233461056 is an apocalyptic number.

10233461056 is a gapful number since it is divisible by the number (16) 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 10233461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790335735).

10233461056 is an abundant number, since it is smaller than the sum of its proper divisors (15347210414).

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

10233461056 is a wasteful number, since it uses less digits than its factorization.

10233461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19361 (or 19331 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 10233461056 its reverse (65016433201), we get a palindrome (75249894257).

The spelling of 10233461056 in words is "ten billion, two hundred thirty-three million, four hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 169 182 196 208 224 338 364 392 416 448 637 676 728 784 832 1183 1274 1352 1456 1568 2366 2548 2704 2912 3136 4732 5096 5408 5824 8281 9464 10192 10816 16562 18928 19309 20384 33124 37856 38618 40768 66248 75712 77236 132496 135163 154472 251017 264992 270326 308944 502034 529984 540652 617888 946141 1004068 1081304 1235776 1757119 1892282 2008136 2162608 3263221 3514238 3784564 4016272 4325216 6526442 7028476 7569128 8032544 8650432 12299833 13052884 14056952 15138256 16065088 22842547 24599666 26105768 28113904 30276512 45685094 49199332 52211536 56227808 60553024 91370188 98398664 104423072 112455616 159897829 182740376 196797328 208846144 319795658 365480752 393594656 639591316 730961504 787189312 1279182632 1461923008 2558365264 5116730528 10233461056