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245112624740 = 22519236439319
BaseRepresentation
bin1110010001000111011…
…0011101011001100100
3212102200022122110122202
43210101312131121210
513003442312442430
6304334142114032
723465055635204
oct3442166353144
9772608573582
10245112624740
1194a51760945
123b60787b918
131a163674279
14bc136aa404
156598c0cd45
hex3911d9d664

245112624740 has 72 divisors (see below), whose sum is σ = 543461204160. Its totient is φ = 92849322816.

The previous prime is 245112624733. The next prime is 245112624769. The reversal of 245112624740 is 47426211542.

245112624740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2451126247403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 245112624694 and 245112624703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26297801 + ... + 26307119.

It is an arithmetic number, because the mean of its divisors is an integer number (7548072280).

Almost surely, 2245112624740 is an apocalyptic number.

245112624740 is a gapful number since it is divisible by the number (20) 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 245112624740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271730602080).

245112624740 is an abundant number, since it is smaller than the sum of its proper divisors (298348579420).

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

245112624740 is a wasteful number, since it uses less digits than its factorization.

245112624740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 245112624740 in words is "two hundred forty-five billion, one hundred twelve million, six hundred twenty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 3643 7220 7286 9319 14572 18215 18638 36430 37276 46595 69217 72860 93190 138434 177061 186380 276868 346085 354122 692170 708244 885305 1315123 1384340 1770610 2630246 3364159 3541220 5260492 6575615 6728318 13151230 13456636 16820795 26302460 33641590 33949117 67283180 67898234 135796468 169745585 339491170 645033223 678982340 1290066446 2580132892 3225166115 6450332230 12255631237 12900664460 24511262474 49022524948 61278156185 122556312370 245112624740