Search a number
-
+
245563605240 = 23352099974923
BaseRepresentation
bin1110010010110010111…
…0110100000011111000
3212110211202020122121020
43210230232310003320
513010403240331430
6304451012142440
723512203130152
oct3445456640370
9773752218536
10245563605240
11951632871a8
123b712907a20
131a205c25335
14bc57541ad2
1565c35e1b10
hex392cbb40f8

245563605240 has 64 divisors (see below), whose sum is σ = 737042544000. Its totient is φ = 65452363392.

The previous prime is 245563605233. The next prime is 245563605299. The reversal of 245563605240 is 42506365542.

245563605240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245563605192 and 245563605201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 235582 + ... + 739341.

It is an arithmetic number, because the mean of its divisors is an integer number (11516289750).

Almost surely, 2245563605240 is an apocalyptic number.

245563605240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245563605240 is an abundant number, since it is smaller than the sum of its proper divisors (491478938760).

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

245563605240 is a wasteful number, since it uses less digits than its factorization.

245563605240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977036 (or 977032 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 245563605240 in words is "two hundred forty-five billion, five hundred sixty-three million, six hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2099 4198 6297 8396 10495 12594 16792 20990 25188 31485 41980 50376 62970 83960 125940 251880 974923 1949846 2924769 3899692 4874615 5849538 7799384 9749230 11699076 14623845 19498460 23398152 29247690 38996920 58495380 116990760 2046363377 4092726754 6139090131 8185453508 10231816885 12278180262 16370907016 20463633770 24556360524 30695450655 40927267540 49112721048 61390901310 81854535080 122781802620 245563605240