Search a number
-
+
12010462824756 = 22311716012132323
BaseRepresentation
bin1010111011000110011101…
…0111101100100100110100
31120112012002210201200010110
42232301213113230210310
53033234411440343011
641313310324423020
72346504315366534
oct256614727544464
946465083650113
1012010462824756
113910677174a10
12141b85b847a70
13691774247256
142d74493bb4c4
1515c646751ba6
hexaec675ec934

12010462824756 has 96 divisors (see below), whose sum is σ = 31054279689216. Its totient is φ = 3582300960000.

The previous prime is 12010462824719. The next prime is 12010462824769. The reversal of 12010462824756 is 65742826401021.

It is a congruent number.

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, 4566411 + ... + 6698733.

It is an arithmetic number, because the mean of its divisors is an integer number (323482080096).

Almost surely, 212010462824756 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 12010462824756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527139844608).

12010462824756 is an abundant number, since it is smaller than the sum of its proper divisors (19043816864460).

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

12010462824756 is a wasteful number, since it uses less digits than its factorization.

12010462824756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133013 (or 2133011 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 12010462824756 in words is "twelve trillion, ten billion, four hundred sixty-two million, eight hundred twenty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 601 781 852 1202 1562 1803 2343 2404 3124 3606 4686 6611 7212 9372 13222 19833 26444 39666 42671 79332 85342 128013 170684 256026 469381 512052 938762 1408143 1877524 2132323 2816286 4264646 5632572 6396969 8529292 12793938 23455553 25587876 46911106 70366659 93822212 140733318 151394933 281466636 302789866 454184799 605579732 908369598 1281526123 1665344263 1816739196 2563052246 3330688526 3844578369 4996032789 5126104492 6661377052 7689156738 9992065578 14096787353 15378313476 19984131156 28193574706 42290362059 56387149412 84580724118 90988354733 169161448236 181976709466 272965064199 363953418932 545930128398 1000871902063 1091860256796 2001743804126 3002615706189 4003487608252 6005231412378 12010462824756