Search a number
-
+
195365668560 = 2435859947641
BaseRepresentation
bin1011010111110010110…
…0111000011011010000
3200200021100222020220020
42311330230320123100
511200102102343220
6225425540143440
720054225532426
oct2657454703320
9620240866806
10195365668560
1175943910417
1231a43697b80
131556617151a
149654809116
15513669e040
hex2d7cb386d0

195365668560 has 80 divisors (see below), whose sum is σ = 606339257280. Its totient is φ = 52036807680.

The previous prime is 195365668543. The next prime is 195365668627. The reversal of 195365668560 is 65866563591.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 195365668494 and 195365668503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267661 + ... + 679980.

It is an arithmetic number, because the mean of its divisors is an integer number (7579240716).

Almost surely, 2195365668560 is an apocalyptic number.

195365668560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195365668560 is an abundant number, since it is smaller than the sum of its proper divisors (410973588720).

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

195365668560 is a wasteful number, since it uses less digits than its factorization.

195365668560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948516 (or 948510 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 195365668560 in words is "one hundred ninety-five billion, three hundred sixty-five million, six hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 859 1718 2577 3436 4295 5154 6872 8590 10308 12885 13744 17180 20616 25770 34360 41232 51540 68720 103080 206160 947641 1895282 2842923 3790564 4738205 5685846 7581128 9476410 11371692 14214615 15162256 18952820 22743384 28429230 37905640 45486768 56858460 75811280 113716920 227433840 814023619 1628047238 2442070857 3256094476 4070118095 4884141714 6512188952 8140236190 9768283428 12210354285 13024377904 16280472380 19536566856 24420708570 32560944760 39073133712 48841417140 65121889520 97682834280 195365668560