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12543817920 = 2635103126859
BaseRepresentation
bin10111010111010101…
…10111100011000000
31012101012101222021220
423223222313203000
5201142204133140
65432413315040
7622563456504
oct135352674300
935335358256
1012543817920
115357727077
122520a95a80
13124ba1c18a
1486dd3c304
154d6391bd0
hex2ebab78c0

12543817920 has 112 divisors (see below), whose sum is σ = 40213605120. Its totient is φ = 3312516096.

The previous prime is 12543817919. The next prime is 12543817969. The reversal of 12543817920 is 2971834521.

It is a super-2 number, since 2×125438179202 (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, 35451 + ... + 162309.

Almost surely, 212543817920 is an apocalyptic number.

12543817920 is a gapful number since it is divisible by the number (10) 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 12543817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106802560).

12543817920 is an abundant number, since it is smaller than the sum of its proper divisors (27669787200).

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

12543817920 is a wasteful number, since it uses less digits than its factorization.

12543817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126982 (or 126972 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 12543817920 in words is "twelve billion, five hundred forty-three million, eight hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 160 192 206 240 309 320 412 480 515 618 824 960 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 6592 8240 9888 12360 16480 19776 24720 32960 49440 98880 126859 253718 380577 507436 634295 761154 1014872 1268590 1522308 1902885 2029744 2537180 3044616 3805770 4059488 5074360 6089232 7611540 8118976 10148720 12178464 13066477 15223080 20297440 24356928 26132954 30446160 39199431 40594880 52265908 60892320 65332385 78398862 104531816 121784640 130664770 156797724 195997155 209063632 261329540 313595448 391994310 418127264 522659080 627190896 783988620 836254528 1045318160 1254381792 1567977240 2090636320 2508763584 3135954480 4181272640 6271908960 12543817920