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9090478336 = 285921012
BaseRepresentation
bin10000111011101010…
…11011000100000000
3212110112100010221211
420131311123010000
5122104130301321
64102012255504
7441161535202
oct103565330400
925415303854
109090478336
113945379a15
121918471594
13b1b43bb84
14623448772
153831000e1
hex21dd5b100

9090478336 has 81 divisors (see below), whose sum is σ = 18642773653. Its totient is φ = 4423961600.

The previous prime is 9090478333. The next prime is 9090478361. The reversal of 9090478336 is 6338740909.

The square root of 9090478336 is 95344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8734023936 + 356454400 = 93456^2 + 18880^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9090478336.

It is not an unprimeable number, because it can be changed into a prime (9090478333) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90004686 + ... + 90004786.

Almost surely, 29090478336 is an apocalyptic number.

9090478336 is the 95344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9090478336

9090478336 is an abundant number, since it is smaller than the sum of its proper divisors (9552295317).

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

9090478336 is an frugal number, since it uses more digits than its factorization.

9090478336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The cubic root of 9090478336 is about 2087.0310580899.

Multiplying 9090478336 by its sum of digits (49), we get a square (445433438464 = 6674082).

The spelling of 9090478336 in words is "nine billion, ninety million, four hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 64 101 118 128 202 236 256 404 472 808 944 1616 1888 3232 3481 3776 5959 6464 6962 7552 10201 11918 12928 13924 15104 20402 23836 25856 27848 40804 47672 55696 81608 95344 111392 163216 190688 222784 326432 351581 381376 445568 601859 652864 703162 762752 891136 1203718 1305728 1406324 1525504 2407436 2611456 2812648 4814872 5625296 9629744 11250592 19259488 22501184 35509681 38518976 45002368 71019362 77037952 90004736 142038724 154075904 284077448 568154896 1136309792 2272619584 4545239168 9090478336