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11700244400 = 2452138327109
BaseRepresentation
bin10101110010110001…
…11000111110110000
31010012102001222222012
422321120320332300
5142430230310100
65213000502052
7562641302465
oct127130707660
933172058865
1011700244400
114a64534879
12232647a928
131146021050
147cdcad66c
154872ae135
hex2b9638fb0

11700244400 has 120 divisors (see below), whose sum is σ = 30637986960. Its totient is φ = 4267883520.

The previous prime is 11700244397. The next prime is 11700244411. The reversal of 11700244400 is 444200711.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418046 + ... + 445154.

It is an arithmetic number, because the mean of its divisors is an integer number (255316558).

Almost surely, 211700244400 is an apocalyptic number.

11700244400 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 11700244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318993480).

11700244400 is an abundant number, since it is smaller than the sum of its proper divisors (18937742560).

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

11700244400 is a wasteful number, since it uses less digits than its factorization.

11700244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27223 (or 27212 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The spelling of 11700244400 in words is "eleven billion, seven hundred million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 83 100 104 130 166 200 208 260 325 332 400 415 520 650 664 830 1040 1079 1300 1328 1660 2075 2158 2600 3320 4150 4316 5200 5395 6640 8300 8632 10790 16600 17264 21580 26975 27109 33200 43160 53950 54218 86320 107900 108436 135545 215800 216872 271090 352417 431600 433744 542180 677725 704834 1084360 1355450 1409668 1762085 2168720 2250047 2710900 2819336 3524170 4500094 5421800 5638672 7048340 8810425 9000188 10843600 11250235 14096680 17620850 18000376 22500470 28193360 29250611 35241700 36000752 45000940 56251175 58501222 70483400 90001880 112502350 117002444 140966800 146253055 180003760 225004700 234004888 292506110 450009400 468009776 585012220 731265275 900018800 1170024440 1462530550 2340048880 2925061100 5850122200 11700244400