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11599720804 = 22761572
BaseRepresentation
bin10101100110110010…
…11011000101100100
31002221101220212112001
422303121123011210
5142224012031204
65155010135044
7560311000000
oct126331330544
932841825461
1011599720804
114a12815a21
1222b8881484
13112b256129
147c07c3700
1547d5544a4
hex2b365b164

11599720804 has 63 divisors (see below), whose sum is σ = 23834540793. Its totient is φ = 4939644528.

The previous prime is 11599720751. The next prime is 11599720841. The reversal of 11599720804 is 40802799511.

The square root of 11599720804 is 107702.

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

11599720804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3400056100 + 8199664704 = 58310^2 + 90552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 73883494 + ... + 73883650.

Almost surely, 211599720804 is an apocalyptic number.

11599720804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11599720804 is the 107702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11599720804

11599720804 is an abundant number, since it is smaller than the sum of its proper divisors (12234819989).

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

11599720804 is an frugal number, since it uses more digits than its factorization.

11599720804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 11599720804 in words is "eleven billion, five hundred ninety-nine million, seven hundred twenty thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 98 157 196 314 343 628 686 1099 1372 2198 2401 4396 4802 7693 9604 15386 16807 24649 30772 33614 49298 53851 67228 98596 107702 117649 172543 215404 235298 345086 376957 470596 690172 753914 1207801 1507828 2415602 2638699 4831204 5277398 8454607 10554796 16909214 18470893 33818428 36941786 59182249 73883572 118364498 236728996 414275743 828551486 1657102972 2899930201 5799860402 11599720804