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12064565326040 = 23510927144922741
BaseRepresentation
bin1010111110010000000000…
…1000010111000011011000
31120201100202022010111112022
42233210000020113003120
53040131212210413130
641354215041034012
72353431114146453
oct257440010270330
946640668114468
1012064565326040
11393160a670997
12142a23a625908
136968b6c16816
142d9cdc90449a
1515dc613677e5
hexaf9002170d8

12064565326040 has 128 divisors (see below), whose sum is σ = 27557845920000. Its totient is φ = 4753089331200.

The previous prime is 12064565325997. The next prime is 12064565326043. The reversal of 12064565326040 is 4062356546021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12064565325982 and 12064565326000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12064565326043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 530509070 + ... + 530531810.

It is an arithmetic number, because the mean of its divisors is an integer number (215295671250).

Almost surely, 212064565326040 is an apocalyptic number.

12064565326040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12064565326040 is an abundant number, since it is smaller than the sum of its proper divisors (15493280593960).

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

12064565326040 is a wasteful number, since it uses less digits than its factorization.

12064565326040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23581 (or 23577 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 12064565326040 in words is "twelve trillion, sixty-four billion, five hundred sixty-five million, three hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 271 436 449 542 545 872 898 1084 1090 1355 1796 2168 2180 2245 2710 3592 4360 4490 5420 8980 10840 17960 22741 29539 45482 48941 59078 90964 97882 113705 118156 121679 147695 181928 195764 227410 236312 243358 244705 295390 391528 454820 486716 489410 590780 608395 909640 973432 978820 1181560 1216790 1957640 2433580 2478769 4867160 4957538 6162811 9915076 10210709 12325622 12393845 13263011 19830152 20421418 24651244 24787690 26526022 30814055 40842836 49302488 49575380 51053545 53052044 61628110 66315055 81685672 99150760 102107090 106104088 123256220 132630110 204214180 246512440 265260220 408428360 530520440 671746399 1112967281 1343492798 2225934562 2686985596 2767102139 3358731995 4451869124 5373971192 5534204278 5564836405 6717463990 8903738248 11068408556 11129672810 13434927980 13835510695 22136817112 22259345620 26869855960 27671021390 44518691240 55342042780 110684085560 301614133151 603228266302 1206456532604 1508070665755 2412913065208 3016141331510 6032282663020 12064565326040