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9068100516 = 2232251891681
BaseRepresentation
bin10000111001000000…
…00011101110100100
3212101222020020100200
420130200003232210
5122032413204031
64055452510500
7440500403556
oct103440035644
925358206320
109068100516
113933785152
121910a7b430
13b16905367
146204a14d6
1538117e8e6
hex21c803ba4

9068100516 has 18 divisors (see below), whose sum is σ = 22922143062. Its totient is φ = 3022700160.

The previous prime is 9068100479. The next prime is 9068100527. The reversal of 9068100516 is 6150018609.

It can be written as a sum of positive squares in only one way, i.e., 8301032100 + 767068416 = 91110^2 + 27696^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 251891681 = 9068100516 / (9 + 0 + 6 + 8 + 1 + 0 + 0 + 5 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125945805 + ... + 125945876.

Almost surely, 29068100516 is an apocalyptic number.

It is an amenable number.

9068100516 is an abundant number, since it is smaller than the sum of its proper divisors (13854042546).

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

9068100516 is a wasteful number, since it uses less digits than its factorization.

9068100516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251891691 (or 251891686 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9068100516 is about 95226.5746312446. The cubic root of 9068100516 is about 2085.3171189236.

The spelling of 9068100516 in words is "nine billion, sixty-eight million, one hundred thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 251891681 503783362 755675043 1007566724 1511350086 2267025129 3022700172 4534050258 9068100516