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11796184540 = 2257245726339
BaseRepresentation
bin10101111110001101…
…10111110111011100
31010110002121021002201
422333012313313130
5143124310401130
65230305101244
7565214625400
oct127706676734
933402537081
1011796184540
115003703048
122352627824
13115cb7296a
147dc925100
15490910bca
hex2bf1b7ddc

11796184540 has 72 divisors (see below), whose sum is σ = 28880545680. Its totient is φ = 4035403008.

The previous prime is 11796184531. The next prime is 11796184549. The reversal of 11796184540 is 4548169711.

It is an interprime number because it is at equal distance from previous prime (11796184531) and next prime (11796184549).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11796184549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434691 + ... + 461029.

It is an arithmetic number, because the mean of its divisors is an integer number (401118690).

Almost surely, 211796184540 is an apocalyptic number.

11796184540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11796184540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440272840).

11796184540 is an abundant number, since it is smaller than the sum of its proper divisors (17084361140).

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

11796184540 is a wasteful number, since it uses less digits than its factorization.

11796184540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26819 (or 26810 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 11796184540 in words is "eleven billion, seven hundred ninety-six million, one hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 457 490 914 980 1828 2285 3199 4570 6398 9140 12796 15995 22393 26339 31990 44786 52678 63980 89572 105356 111965 131695 184373 223930 263390 368746 447860 526780 737492 921865 1290611 1843730 2581222 3687460 5162444 6453055 12036923 12906110 24073846 25812220 48147692 60184615 84258461 120369230 168516922 240738460 337033844 421292305 589809227 842584610 1179618454 1685169220 2359236908 2949046135 5898092270 11796184540