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10614383676 = 2232133433121
BaseRepresentation
bin10011110001010101…
…01010010000111100
31000101201211120002100
421320222222100330
5133214240234201
64513131025100
7524014526001
oct117052522074
930351746070
1010614383676
1145575a7616
12208289b190
131002081000
147299b18a8
15421cbc886
hex278aaa43c

10614383676 has 144 divisors (see below), whose sum is σ = 29751161440. Its totient is φ = 3188989440.

The previous prime is 10614383669. The next prime is 10614383677. The reversal of 10614383676 is 67638341601.

It is a super-2 number, since 2×106143836762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10614383677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3399396 + ... + 3402516.

Almost surely, 210614383676 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 10614383676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875580720).

10614383676 is an abundant number, since it is smaller than the sum of its proper divisors (19136777764).

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

10614383676 is a wasteful number, since it uses less digits than its factorization.

10614383676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10614383676 in words is "ten billion, six hundred fourteen million, three hundred eighty-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 169 172 234 258 338 387 468 507 516 559 676 774 1014 1118 1521 1548 1677 2028 2197 2236 3042 3121 3354 4394 5031 6084 6242 6591 6708 7267 8788 9363 10062 12484 13182 14534 18726 19773 20124 21801 26364 28089 29068 37452 39546 40573 43602 56178 65403 79092 81146 87204 94471 112356 121719 130806 134203 162292 188942 243438 261612 268406 283413 365157 377884 402609 486876 527449 536812 566826 730314 805218 850239 1054898 1133652 1207827 1460628 1582347 1610436 1700478 1744639 2109796 2415654 3164694 3400956 3489278 4747041 4831308 5233917 6329388 6856837 6978556 9494082 10467834 13713674 15701751 18988164 20570511 20935668 22680307 27427348 31403502 41141022 45360614 61711533 62807004 68040921 82282044 90721228 123423066 136081842 204122763 246846132 272163684 294843991 408245526 589687982 816491052 884531973 1179375964 1769063946 2653595919 3538127892 5307191838 10614383676