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12496282830 = 23351071492903
BaseRepresentation
bin10111010001101011…
…00010010011001110
31012020212221221102000
423220311202103032
5201043022022310
65423554413130
7621445436313
oct135065422316
935225857360
1012496282830
11533290a279
122508b911a6
131241c179c5
148678c6d0a
154d21024c0
hex2e8d624ce

12496282830 has 128 divisors (see below), whose sum is σ = 33872256000. Its totient is φ = 3277913472.

The previous prime is 12496282829. The next prime is 12496282853. The reversal of 12496282830 is 3828269421.

12496282830 is a `hidden beast` number, since 1 + 2 + 496 + 2 + 82 + 83 + 0 = 666.

12496282830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4303159 + ... + 4306061.

It is an arithmetic number, because the mean of its divisors is an integer number (264627000).

Almost surely, 212496282830 is an apocalyptic number.

12496282830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12496282830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936128000).

12496282830 is an abundant number, since it is smaller than the sum of its proper divisors (21375973170).

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

12496282830 is a wasteful number, since it uses less digits than its factorization.

12496282830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12496282830 in words is "twelve billion, four hundred ninety-six million, two hundred eighty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 149 214 270 298 321 447 535 642 745 894 963 1070 1341 1490 1605 1926 2235 2682 2889 2903 3210 4023 4470 4815 5778 5806 6705 8046 8709 9630 13410 14445 14515 15943 17418 20115 26127 28890 29030 31886 40230 43545 47829 52254 78381 79715 87090 95658 130635 143487 156762 159430 239145 261270 286974 310621 391905 430461 432547 478290 621242 717435 783810 860922 865094 931863 1297641 1434870 1553105 1863726 2152305 2162735 2595282 2795589 3106210 3892923 4304610 4325470 4659315 5591178 6488205 7785846 8386767 9318630 11678769 12976410 13977945 16773534 19464615 23357538 27955890 38929230 41933835 46282529 58393845 83867670 92565058 116787690 138847587 231412645 277695174 416542761 462825290 694237935 833085522 1249628283 1388475870 2082713805 2499256566 4165427610 6248141415 12496282830