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9097000016 = 2413172572681
BaseRepresentation
bin10000111100011100…
…10011010001010000
3212110222121111000112
420132032103101100
5122112313000031
64102404140452
7441301136636
oct103616232120
925428544015
109097000016
113949023835
12191a697728
13b1c8b3460
14624265356
1538398c62b
hex21e393450

9097000016 has 40 divisors (see below), whose sum is σ = 20097791784. Its totient is φ = 3951636480.

The previous prime is 9097000013. The next prime is 9097000069. The reversal of 9097000016 is 6100007909.

It can be written as a sum of positive squares in 4 ways, for example, as 222606400 + 8874393616 = 14920^2 + 94204^2 .

It is a super-2 number, since 2×90970000162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9097000013) 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, 1282805 + ... + 1289876.

Almost surely, 29097000016 is an apocalyptic number.

It is an amenable number.

9097000016 is an abundant number, since it is smaller than the sum of its proper divisors (11000791768).

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

9097000016 is a wasteful number, since it uses less digits than its factorization.

9097000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572719 (or 2572713 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 9097000016 is about 95378.1946568502. The cubic root of 9097000016 is about 2087.5300305527.

The spelling of 9097000016 in words is "nine billion, ninety-seven million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 2572681 5145362 10290724 20581448 33444853 41162896 43735577 66889706 87471154 133779412 174942308 267558824 349884616 535117648 568562501 699769232 1137125002 2274250004 4548500008 9097000016