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10343689044 = 22313435472819
BaseRepresentation
bin10011010001000100…
…00010101101010100
3222200212110211212020
421220202002231110
5132140441022134
64430221053140
7514216622553
oct115042025524
928625424766
1010343689044
114428819747
1220080b71b0
13c8ac73c80
14701a69d9a
1540814bb49
hex268882b54

10343689044 has 96 divisors (see below), whose sum is σ = 26654369280. Its totient is φ = 3101874048.

The previous prime is 10343689019. The next prime is 10343689079. The reversal of 10343689044 is 44098634301.

It is a junction number, because it is equal to n+sod(n) for n = 10343688987 and 10343689005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3667867 + ... + 3670685.

It is an arithmetic number, because the mean of its divisors is an integer number (277649680).

Almost surely, 210343689044 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 10343689044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327184640).

10343689044 is an abundant number, since it is smaller than the sum of its proper divisors (16310680236).

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

10343689044 is a wasteful number, since it uses less digits than its factorization.

10343689044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 10343689044 in words is "ten billion, three hundred forty-three million, six hundred eighty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 547 559 1094 1118 1641 1677 2188 2236 2819 3282 3354 5638 6564 6708 7111 8457 11276 14222 16914 21333 23521 28444 33828 36647 42666 47042 70563 73294 85332 94084 109941 121217 141126 146588 219882 242434 282252 305773 363651 439764 484868 611546 727302 917319 1223092 1454604 1541993 1575821 1834638 3083986 3151642 3669276 4625979 4727463 6167972 6303284 9251958 9454926 18503916 18909852 20045909 40091818 60137727 66305699 80183636 120275454 132611398 198917097 240550908 265222796 397834194 795668388 861974087 1723948174 2585922261 3447896348 5171844522 10343689044