Search a number
-
+
6513193360240 = 245741283675669
BaseRepresentation
bin101111011000111100010…
…0100111001101101110000
3212001122200122101101222121
41132301320210321231300
51323203010000011430
621504041505444024
71241364001046620
oct136617044715560
925048618341877
106513193360240
112091258942756
12892373340614
133832649505b8
14187351312880
15b4652eb4a7a
hex5ec78939b70

6513193360240 has 80 divisors (see below), whose sum is σ = 17728594672320. Its totient is φ = 2178629130240.

The previous prime is 6513193360231. The next prime is 6513193360277. The reversal of 6513193360240 is 420633913156.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141814875 + ... + 141860794.

It is an arithmetic number, because the mean of its divisors is an integer number (221607433404).

Almost surely, 26513193360240 is an apocalyptic number.

It is an amenable number.

6513193360240 is an abundant number, since it is smaller than the sum of its proper divisors (11215401312080).

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

6513193360240 is a wasteful number, since it uses less digits than its factorization.

6513193360240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283675730 (or 283675724 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 6513193360240 in words is "six trillion, five hundred thirteen billion, one hundred ninety-three million, three hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 283675669 567351338 1134702676 1418378345 1985729683 2269405352 2836756690 3971459366 4538810704 5673513380 7942918732 9928648415 11347026760 11630702429 15885837464 19857296830 22694053520 23261404858 31771674928 39714593660 46522809716 58153512145 79429187320 81414917003 93045619432 116307024290 158858374640 162829834006 186091238864 232614048580 325659668012 407074585015 465228097160 651319336024 814149170030 930456194320 1302638672048 1628298340060 3256596680120 6513193360240