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10483222344 = 2337536119301
BaseRepresentation
bin10011100001101100…
…10100011101001000
31000001121000212120020
421300312110131020
5132432201103334
64452123500440
7520532630310
oct116066243510
930047025506
1010483222344
11449a562121
122046987720
13cb0b49a5a
147163cc440
1541550ee49
hex270d94748

10483222344 has 128 divisors (see below), whose sum is σ = 31019086080. Its totient is φ = 2890368000.

The previous prime is 10483222339. The next prime is 10483222427. The reversal of 10483222344 is 44322238401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533494 + ... + 552794.

It is an arithmetic number, because the mean of its divisors is an integer number (242336610).

Almost surely, 210483222344 is an apocalyptic number.

10483222344 is a gapful number since it is divisible by the number (14) 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 10483222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509543040).

10483222344 is an abundant number, since it is smaller than the sum of its proper divisors (20535863736).

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

10483222344 is a wasteful number, since it uses less digits than its factorization.

10483222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19431 (or 19427 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 10483222344 in words is "ten billion, four hundred eighty-three million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 61 84 106 122 159 168 183 212 244 318 366 371 424 427 488 636 732 742 854 1113 1272 1281 1464 1484 1708 2226 2562 2968 3233 3416 4452 5124 6466 8904 9699 10248 12932 19301 19398 22631 25864 38602 38796 45262 57903 67893 77204 77592 90524 115806 135107 135786 154408 181048 231612 270214 271572 405321 463224 540428 543144 810642 1022953 1080856 1177361 1621284 2045906 2354722 3068859 3242568 3532083 4091812 4709444 6137718 7064166 7160671 8183624 8241527 9418888 12275436 14128332 14321342 16483054 21482013 24550872 24724581 28256664 28642684 32966108 42964026 49449162 57285368 62400133 65932216 85928052 98898324 124800266 171856104 187200399 197796648 249600532 374400798 436800931 499201064 748801596 873601862 1310402793 1497603192 1747203724 2620805586 3494407448 5241611172 10483222344