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1327510429768 = 233743673314703
BaseRepresentation
bin10011010100010101110…
…010011010000001001000
311200220112111002002021101
4103110111302122001020
5133222220132223033
62453503323351144
7164623642321105
oct23242562320110
94626474062241
101327510429768
11471aa3036266
121953446824b4
1398250772453
14483750d9aac
15247e91d397d
hex13515c9a048

1327510429768 has 128 divisors (see below), whose sum is σ = 2663433400320. Its totient is φ = 619373018880.

The previous prime is 1327510429757. The next prime is 1327510429781. The reversal of 1327510429768 is 8679240157231.

It is a super-2 number, since 2×13275104297682 (a number of 25 digits) contains 22 as substring.

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, 282266505 + ... + 282271207.

It is an arithmetic number, because the mean of its divisors is an integer number (20808073440).

It is a 1-persistent number, because it is pandigital, but 2⋅1327510429768 = 2655020859536 is not.

Almost surely, 21327510429768 is an apocalyptic number.

It is an amenable number.

1327510429768 is an abundant number, since it is smaller than the sum of its proper divisors (1335922970552).

1327510429768 is a wasteful number, since it uses less digits than its factorization.

1327510429768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 1327510429768 in words is "one trillion, three hundred twenty-seven billion, five hundred ten million, four hundred twenty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 37 43 67 74 86 134 148 172 268 296 331 344 536 662 1324 1591 2479 2648 2881 3182 4703 4958 5762 6364 9406 9916 11524 12247 12728 14233 18812 19832 22177 23048 24494 28466 37624 44354 48988 56932 88708 97976 106597 113864 174011 177416 202229 213194 315101 348022 404458 426388 526621 630202 696044 808916 820549 852776 953611 1053242 1260404 1392088 1556693 1617832 1641098 1907222 2106484 2520808 3113386 3282196 3814444 4212968 6226772 6564392 7482473 7628888 11658737 12453544 13549343 14964946 23317474 27098686 29929892 35283607 46634948 54197372 57597641 59859784 66937799 70567214 93269896 104298431 108394744 115195282 133875598 141134428 208596862 230390564 267751196 282268856 417193724 460781128 501325691 535502392 834387448 1002651382 2005302764 2476698563 3859041947 4010605528 4484832533 4953397126 7718083894 8969665066 9906794252 15436167788 17939330132 19813588504 30872335576 35878660264 165938803721 331877607442 663755214884 1327510429768