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10284881978384 = 2413172908620469
BaseRepresentation
bin1001010110101010001010…
…1111001010010000010000
31100102020002002221012122222
42111222202233022100100
52322001414241302014
633512450510320212
72111025651246116
oct225524257122020
940366062835588
1010284881978384
113305880828982
1211a13421b9068
13597b24b577c0
14277b104c7ab6
1512c80027808e
hex95aa2bca410

10284881978384 has 40 divisors (see below), whose sum is σ = 22722143111640. Its totient is φ = 4467641038848.

The previous prime is 10284881978383. The next prime is 10284881978453. The reversal of 10284881978384 is 48387918848201.

It can be written as a sum of positive squares in 4 ways, for example, as 438641290000 + 9846240688384 = 662300^2 + 3137872^2 .

It is not an unprimeable number, because it can be changed into a prime (10284881978383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454306699 + ... + 1454313770.

It is an arithmetic number, because the mean of its divisors is an integer number (568053577791).

Almost surely, 210284881978384 is an apocalyptic number.

It is an amenable number.

10284881978384 is an abundant number, since it is smaller than the sum of its proper divisors (12437261133256).

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

10284881978384 is a wasteful number, since it uses less digits than its factorization.

10284881978384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908620507 (or 2908620501 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 71.

The spelling of 10284881978384 in words is "ten trillion, two hundred eighty-four billion, eight hundred eighty-one million, nine hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 2908620469 5817240938 11634481876 23268963752 37812066097 46537927504 49446547973 75624132194 98893095946 151248264388 197786191892 302496528776 395572383784 604993057552 642805123649 791144767568 1285610247298 2571220494596 5142440989192 10284881978384