Search a number
-
+
12614952416 = 2511192382009
BaseRepresentation
bin10111011111110100…
…01110010111100000
31012120011020222110212
423233322032113200
5201313411434131
65443434113252
7624416216633
oct135772162740
935504228425
1012614952416
1153938a2510
12254087b828
1312606971b1
14879577c1a
154dc743a2b
hex2efe8e5e0

12614952416 has 96 divisors (see below), whose sum is σ = 29759788800. Its totient is φ = 5196026880.

The previous prime is 12614952409. The next prime is 12614952431. The reversal of 12614952416 is 61425941621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112820 + ... + 194828.

It is an arithmetic number, because the mean of its divisors is an integer number (309997800).

Almost surely, 212614952416 is an apocalyptic number.

12614952416 is a gapful number since it is divisible by the number (16) 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 12614952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879894400).

12614952416 is an abundant number, since it is smaller than the sum of its proper divisors (17144836384).

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

12614952416 is a wasteful number, since it uses less digits than its factorization.

12614952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82072 (or 82064 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The spelling of 12614952416 in words is "twelve billion, six hundred fourteen million, nine hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 88 92 152 176 184 209 253 304 352 368 418 437 506 608 736 836 874 1012 1672 1748 2024 3344 3496 4048 4807 6688 6992 8096 9614 13984 19228 38456 76912 82009 153824 164018 328036 656072 902099 1312144 1558171 1804198 1886207 2624288 3116342 3608396 3772414 6232684 7216792 7544828 12465368 14433584 15089656 17139881 20748277 24930736 28867168 30179312 34279762 35837933 41496554 49861472 60358624 68559524 71675866 82993108 137119048 143351732 165986216 274238096 286703464 331972432 394217263 548476192 573406928 663944864 788434526 1146813856 1576869052 3153738104 6307476208 12614952416