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11701490400 = 2532521625207
BaseRepresentation
bin10101110010111011…
…01001001011100000
31010012111102022011100
422321131221023200
5142431040143100
65213043314400
7562655012235
oct127135511340
933174368140
1011701490400
114a65205a26
12232697ba00
131146369222
147d011578c
15487458400
hex2b97692e0

11701490400 has 108 divisors (see below), whose sum is σ = 41262405912. Its totient is φ = 3120395520.

The previous prime is 11701490399. The next prime is 11701490413. The reversal of 11701490400 is 409410711.

11701490400 is a `hidden beast` number, since 1 + 170 + 1 + 4 + 90 + 400 = 666.

11701490400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 805404 + ... + 819803.

It is an arithmetic number, because the mean of its divisors is an integer number (382059314).

Almost surely, 211701490400 is an apocalyptic number.

11701490400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11701490400 is an abundant number, since it is smaller than the sum of its proper divisors (29560915512).

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

11701490400 is a wasteful number, since it uses less digits than its factorization.

11701490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625233 (or 1625217 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11701490400 in words is "eleven billion, seven hundred one million, four hundred ninety thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 1625207 3250414 4875621 6500828 8126035 9751242 13001656 14626863 16252070 19502484 24378105 26003312 29253726 32504140 39004968 40630175 48756210 52006624 58507452 65008280 73134315 78009936 81260350 97512420 117014904 121890525 130016560 146268630 156019872 162520700 195024840 234029808 243781050 260033120 292537260 325041400 365671575 390049680 468059616 487562100 585074520 650082800 731343150 780099360 975124200 1170149040 1300165600 1462686300 1950248400 2340298080 2925372600 3900496800 5850745200 11701490400