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21745705336456 = 23437319710974007
BaseRepresentation
bin1001111000111000100010…
…00010101011111010001000
32211222212110121000222122211
410330130101002223322020
510322240201031231311
6114125501125554504
74403034564401143
oct474342102537210
984885417028584
1021745705336456
116a24335831362
122532568875a34
13c197c3ab799a
145526d7ba105a
1527a9c7ebb821
hex13c7110abe88

21745705336456 has 128 divisors (see below), whose sum is σ = 42556989530880. Its totient is φ = 10409247830016.

The previous prime is 21745705336447. The next prime is 21745705336501. The reversal of 21745705336456 is 65463350754712.

It is a self number, because there is not a number n which added to its sum of digits gives 21745705336456.

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, 5426927205 + ... + 5426931211.

It is an arithmetic number, because the mean of its divisors is an integer number (332476480710).

Almost surely, 221745705336456 is an apocalyptic number.

It is an amenable number.

21745705336456 is a deficient number, since it is larger than the sum of its proper divisors (20811284194424).

21745705336456 is a wasteful number, since it uses less digits than its factorization.

21745705336456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 58.

The spelling of 21745705336456 in words is "twenty-one trillion, seven hundred forty-five billion, seven hundred five million, three hundred thirty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 43 73 86 146 172 197 292 344 394 584 788 1097 1576 2194 3139 4007 4388 6278 8014 8471 8776 12556 14381 16028 16942 25112 28762 32056 33884 47171 57524 67768 80081 94342 115048 160162 172301 188684 216109 292511 320324 344602 377368 432218 585022 618383 640648 689204 789379 864436 1170044 1236766 1378408 1578758 1728872 2340088 2473532 3157516 3443483 4395679 4947064 6315032 6886966 8791358 9292687 12577973 13773932 15775957 17582716 18585374 25155946 27547864 31551914 33943297 35165432 37170748 50311892 57624667 63103828 67886594 74341496 100623784 115249334 126207656 135773188 189014197 230498668 271546376 320884567 378028394 460997336 641769134 678366151 756056788 865948763 1283538268 1356732302 1512113576 1731897526 2477860681 2567076536 2713464604 3463795052 4955721362 5426929208 6927590104 9911442724 13798036381 19822885448 27596072762 37235796809 55192145524 63214259699 74471593618 110384291048 126428519398 148943187236 252857038796 297886374472 505714077592 2718213167057 5436426334114 10872852668228 21745705336456