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114693783560 = 23561734571409
BaseRepresentation
bin110101011010001001…
…0000100000000001000
3101222001012120212221122
41222310102010000020
53334343102033220
6124404541454412
711200135034426
oct1526422040010
9358035525848
10114693783560
1144706718184
121a28a871408
13aa7aa92325
1457a0734116
152eb4213425
hex1ab4484008

114693783560 has 128 divisors (see below), whose sum is σ = 266655477600. Its totient is φ = 44378357760.

The previous prime is 114693783557. The next prime is 114693783563. The reversal of 114693783560 is 65387396411.

It is an interprime number because it is at equal distance from previous prime (114693783557) and next prime (114693783563).

It can be written as a sum of positive squares in 16 ways, for example, as 697065604 + 113996717956 = 26402^2 + 337634^2 .

It is not an unprimeable number, because it can be changed into a prime (114693783563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81400136 + ... + 81401544.

Almost surely, 2114693783560 is an apocalyptic number.

114693783560 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 114693783560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133327738800).

114693783560 is an abundant number, since it is smaller than the sum of its proper divisors (151961694040).

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

114693783560 is a wasteful number, since it uses less digits than its factorization.

114693783560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 114693783560 in words is "one hundred fourteen billion, six hundred ninety-three million, seven hundred eighty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 73 122 146 244 292 305 365 457 488 584 610 730 914 1220 1409 1460 1828 2285 2440 2818 2920 3656 4453 4570 5636 7045 8906 9140 11272 14090 17812 18280 22265 27877 28180 33361 35624 44530 55754 56360 66722 85949 89060 102857 111508 133444 139385 166805 171898 178120 205714 223016 266888 278770 333610 343796 411428 429745 514285 557540 643913 667220 687592 822856 859490 1028570 1115080 1287826 1334440 1718980 2035021 2057140 2575652 3219565 3437960 4070042 4114280 5151304 6274277 6439130 8140084 10175105 12548554 12878260 16280168 20350210 25097108 25756520 31371385 39278693 40700420 47005649 50194216 62742770 78557386 81400840 94011298 125485540 157114772 188022596 196393465 235028245 250971080 314229544 376045192 392786930 470056490 785573860 940112980 1571147720 1880225960 2867344589 5734689178 11469378356 14336722945 22938756712 28673445890 57346891780 114693783560