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12411643604568 = 23313612832304403
BaseRepresentation
bin1011010010011100111110…
…0110111010111001011000
31121221112121210010212111220
42310213033212322321120
53111323021230321233
642221455205052040
72420466045635355
oct264471746727130
947845553125456
1012411643604568
113a5582627569a
1214855623b7020
136c054a3aa570
1430ca2630962c
15167cc6b3aeb3
hexb49cf9bae58

12411643604568 has 128 divisors (see below), whose sum is σ = 34083794330880. Its totient is φ = 3743086256640.

The previous prime is 12411643604519. The next prime is 12411643604593. The reversal of 12411643604568 is 86540634611421.

It is a self number, because there is not a number n which added to its sum of digits gives 12411643604568.

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, 4233855 + ... + 6538257.

It is an arithmetic number, because the mean of its divisors is an integer number (266279643210).

Almost surely, 212411643604568 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 12411643604568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041897165440).

12411643604568 is an abundant number, since it is smaller than the sum of its proper divisors (21672150726312).

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

12411643604568 is a wasteful number, since it uses less digits than its factorization.

12411643604568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304769 (or 2304765 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 12411643604568 in words is "twelve trillion, four hundred eleven billion, six hundred forty-three million, six hundred four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 283 312 366 488 566 732 793 849 1132 1464 1586 1698 2264 2379 3172 3396 3679 4758 6344 6792 7358 9516 11037 14716 17263 19032 22074 29432 34526 44148 51789 69052 88296 103578 138104 207156 224419 414312 448838 673257 897676 1346514 1795352 2304403 2693028 4608806 5386056 6913209 9217612 13826418 18435224 27652836 29957239 55305672 59914478 89871717 119828956 140568583 179743434 239657912 281137166 359486868 421705749 562274332 652146049 718973736 843411498 1124548664 1304292098 1686822996 1827391579 1956438147 2608584196 3373645992 3654783158 3912876294 5217168392 5482174737 7309566316 7825752588 8477898637 10964349474 14619132632 15651505176 16955797274 21928698948 25433695911 33911594548 39780908989 43857397896 50867391822 67823189096 79561817978 101734783644 119342726967 159123635956 203469567288 238685453934 318247271912 477370907868 517151816857 954741815736 1034303633714 1551455450571 2068607267428 3102910901142 4137214534856 6205821802284 12411643604568