Search a number
-
+
245795188240 = 24573114158709
BaseRepresentation
bin1110010011101010001…
…0001110111000010000
3212111102220000021202101
43210322202032320100
513011342032010430
6304530003530144
723521014425230
oct3447242167020
9774386007671
10245795188240
1195271a80a08
123b778389954
131a241bb9cb4
14bc7a1c5cc0
1565d8ad8dca
hex393a88ee10

245795188240 has 80 divisors (see below), whose sum is σ = 674181135360. Its totient is φ = 81554158080.

The previous prime is 245795188237. The next prime is 245795188277. The reversal of 245795188240 is 42881597542.

245795188240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×2457951882404 (a number of 47 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7061995 + ... + 7096714.

It is an arithmetic number, because the mean of its divisors is an integer number (8427264192).

Almost surely, 2245795188240 is an apocalyptic number.

245795188240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245795188240 is an abundant number, since it is smaller than the sum of its proper divisors (428385947120).

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

245795188240 is a wasteful number, since it uses less digits than its factorization.

245795188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14158760 (or 14158754 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 245795188240 in words is "two hundred forty-five billion, seven hundred ninety-five million, one hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 14158709 28317418 56634836 70793545 99110963 113269672 141587090 198221926 226539344 283174180 396443852 438919979 495554815 566348360 792887704 877839958 991109630 1132696720 1585775408 1755679916 1982219260 2194599895 3072439853 3511359832 3964438520 4389199790 6144879706 7022719664 7928877040 8778399580 12289759412 15362199265 17556799160 24579518824 30724398530 35113598320 49159037648 61448797060 122897594120 245795188240