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10339336832 = 271123378629
BaseRepresentation
bin10011010000100010…
…11100001010000000
3222200120021201202012
421220101130022000
5132133332234312
64425543512052
7514134625106
oct115021341200
928616251665
1010339336832
114426316880
122006758628
13c8a0abcb6
14701255c76
15407a8c322
hex26845c280

10339336832 has 128 divisors (see below), whose sum is σ = 24083913600. Its totient is φ = 4373360640.

The previous prime is 10339336817. The next prime is 10339336849. The reversal of 10339336832 is 23863393301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×103393368322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10339336832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193894 + ... + 1202522.

It is an arithmetic number, because the mean of its divisors is an integer number (188155575).

Almost surely, 210339336832 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 10339336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12041956800).

10339336832 is an abundant number, since it is smaller than the sum of its proper divisors (13744576768).

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

10339336832 is a wasteful number, since it uses less digits than its factorization.

10339336832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 41.

The spelling of 10339336832 in words is "ten billion, three hundred thirty-nine million, three hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 64 74 88 92 128 148 176 184 253 296 352 368 407 506 592 704 736 814 851 1012 1184 1408 1472 1628 1702 2024 2368 2944 3256 3404 4048 4736 6512 6808 8096 8629 9361 13024 13616 16192 17258 18722 26048 27232 32384 34516 37444 52096 54464 69032 74888 94919 108928 138064 149776 189838 198467 276128 299552 319273 379676 396934 552256 599104 638546 759352 793868 1104512 1198208 1277092 1518704 1587736 2183137 2554184 3037408 3175472 3512003 4366274 5108368 6074816 6350944 7024006 7343279 8732548 10216736 12149632 12701888 14048012 14686558 17465096 20433472 25403776 28096024 29373116 34930192 40866944 56192048 58746232 69860384 80776069 112384096 117492464 139720768 161552138 224768192 234984928 279441536 323104276 449536384 469969856 646208552 939939712 1292417104 2584834208 5169668416 10339336832