Search a number
-
+
12692050112 = 267151373503
BaseRepresentation
bin10111101001000000…
…10101000011000000
31012202112022221122002
423310200111003000
5201443131100422
65455230403132
7626343434360
oct136440250300
935675287562
1012692050112
115423371115
1225626604a8
13127364c531
148858c69a0
154e43c2692
hex2f48150c0

12692050112 has 112 divisors (see below), whose sum is σ = 29109814272. Its totient is φ = 5378227200.

The previous prime is 12692050109. The next prime is 12692050127. The reversal of 12692050112 is 21105029621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×126920501122 (a number of 21 digits) contains 22 as substring.

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, 25232453 + ... + 25232955.

It is an arithmetic number, because the mean of its divisors is an integer number (259909056).

Almost surely, 212692050112 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 12692050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554907136).

12692050112 is an abundant number, since it is smaller than the sum of its proper divisors (16417764160).

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

12692050112 is a wasteful number, since it uses less digits than its factorization.

12692050112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

Adding to 12692050112 its reverse (21105029621), we get a palindrome (33797079733).

The spelling of 12692050112 in words is "twelve billion, six hundred ninety-two million, fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 373 448 503 604 746 1006 1057 1208 1492 2012 2114 2416 2611 2984 3521 4024 4228 4832 5222 5968 7042 8048 8456 9664 10444 11936 14084 16096 16912 20888 23872 28168 32192 33824 41776 56323 56336 67648 75953 83552 112646 112672 151906 167104 187619 225292 225344 303812 375238 394261 450584 531671 607624 750476 788522 901168 1063342 1215248 1313333 1500952 1577044 1802336 2126684 2430496 2626666 3001904 3154088 3604672 4253368 4860992 5253332 6003808 6308176 8506736 10506664 12007616 12616352 17013472 21013328 25232704 28330469 34026944 42026656 56660938 84053312 113321876 198313283 226643752 396626566 453287504 793253132 906575008 1586506264 1813150016 3173012528 6346025056 12692050112