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10832340744 = 23321313733079
BaseRepresentation
bin10100001011010100…
…00110011100001000
31000221220221220222100
422011222012130020
5134141034400434
64550514353400
7532302243231
oct120552063410
930856856870
1010832340744
114659634a25
12212388b860
1310382848a4
1474a90a088
15435ec2699
hex285a86708

10832340744 has 96 divisors (see below), whose sum is σ = 29650420800. Its totient is φ = 3572449920.

The previous prime is 10832340719. The next prime is 10832340749. The reversal of 10832340744 is 44704323801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10832340699 and 10832340708.

It is not an unprimeable number, because it can be changed into a prime (10832340749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3516597 + ... + 3519675.

It is an arithmetic number, because the mean of its divisors is an integer number (308858550).

Almost surely, 210832340744 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 10832340744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825210400).

10832340744 is an abundant number, since it is smaller than the sum of its proper divisors (18818080056).

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

10832340744 is a wasteful number, since it uses less digits than its factorization.

10832340744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 10832340744 in words is "ten billion, eight hundred thirty-two million, three hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 373 393 524 746 786 1048 1119 1179 1492 1572 2238 2358 2984 3079 3144 3357 4476 4716 6158 6714 8952 9237 9432 12316 13428 18474 24632 26856 27711 36948 48863 55422 73896 97726 110844 146589 195452 221688 293178 390904 403349 439767 586356 806698 879534 1148467 1172712 1210047 1613396 1759068 2296934 2420094 3226792 3445401 3518136 3630141 4593868 4840188 6890802 7260282 9187736 9680376 10336203 13781604 14520564 20672406 27563208 29041128 41344812 82689624 150449177 300898354 451347531 601796708 902695062 1203593416 1354042593 1805390124 2708085186 3610780248 5416170372 10832340744