Search a number
-
+
65780284464 = 2433236620399
BaseRepresentation
bin111101010000110011…
…110111110000110000
320021210100012200101000
4331100303313300300
52034204223100324
650115151442000
74516045122666
oct752063676060
9207710180330
1065780284464
112599628a364
12108b9826300
136284157b5b
14328042ac36
151a9ee399c9
hexf50cf7c30

65780284464 has 80 divisors (see below), whose sum is σ = 197023104000. Its totient is φ = 20973420864.

The previous prime is 65780284457. The next prime is 65780284469. The reversal of 65780284464 is 46448208756.

It is a happy number.

65780284464 is a `hidden beast` number, since 6 + 578 + 0 + 2 + 8 + 4 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 65780284464.

It is not an unprimeable number, because it can be changed into a prime (65780284469) by changing a digit.

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, 3300264 + ... + 3320135.

It is an arithmetic number, because the mean of its divisors is an integer number (2462788800).

Almost surely, 265780284464 is an apocalyptic number.

It is an amenable number.

65780284464 is an abundant number, since it is smaller than the sum of its proper divisors (131242819536).

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

65780284464 is a wasteful number, since it uses less digits than its factorization.

65780284464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620439 (or 6620427 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 65780284464 in words is "sixty-five billion, seven hundred eighty million, two hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 6620399 13240798 19861197 26481596 39722394 52963192 59583591 79444788 105926384 119167182 152269177 158889576 178750773 238334364 304538354 317779152 357501546 456807531 476668728 609076708 715003092 913615062 953337456 1218153416 1370422593 1430006184 1827230124 2436306832 2740845186 2860012368 3654460248 4111267779 5481690372 7308920496 8222535558 10963380744 16445071116 21926761488 32890142232 65780284464