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9010863205345 = 517734157349337
BaseRepresentation
bin1000001100100000000101…
…0011001110101111100001
31011220102121112211211121001
42003020001103032233201
52140113221440032340
631055311114432001
71620004406331001
oct203100123165741
934812545754531
109010863205345
112964538404091
121016447a32601
1350494a65cc51
142321b1748001
151095d724929a
hex832014cebe1

9010863205345 has 32 divisors (see below), whose sum is σ = 11608758852768. Its totient is φ = 6690080636928.

The previous prime is 9010863205307. The next prime is 9010863205361. The reversal of 9010863205345 is 5435023680109.

It can be written as a sum of positive squares in 16 ways, for example, as 39496395169 + 8971366810176 = 198737^2 + 2995224^2 .

It is a cyclic number.

It is not a de Polignac number, because 9010863205345 - 219 = 9010862681057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9010863205295 and 9010863205304.

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, 25619517 + ... + 25968853.

It is an arithmetic number, because the mean of its divisors is an integer number (362773714149).

Almost surely, 29010863205345 is an apocalyptic number.

It is an amenable number.

9010863205345 is a deficient number, since it is larger than the sum of its proper divisors (2597895647423).

9010863205345 is a wasteful number, since it uses less digits than its factorization.

9010863205345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353589.

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 9010863205345 in words is "nine trillion, ten billion, eight hundred sixty-three million, two hundred five thousand, three hundred forty-five".

Divisors: 1 5 17 73 85 365 1241 4157 6205 20785 70669 303461 349337 353345 1517305 1746685 5158837 5938729 25501601 25794185 29693645 127508005 433527217 1452193909 2167636085 7260969545 24687296453 106010155357 123436482265 530050776785 1802172641069 9010863205345