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713813805264 = 243767223142189
BaseRepresentation
bin10100110001100101001…
…11100100100011010000
32112020110220121102011010
422120302213210203100
543143342313232024
61303531015050520
7102366654143160
oct12306247444320
92466426542133
10713813805264
112557aa313a8a
12b6412970a40
135240a316401
1426797b905a0
151387bbabb29
hexa6329e48d0

713813805264 has 160 divisors (see below), whose sum is σ = 2148511375360. Its totient is φ = 200000503296.

The previous prime is 713813805247. The next prime is 713813805269. The reversal of 713813805264 is 462508318317.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713813805269) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4949082 + ... + 5091270.

It is an arithmetic number, because the mean of its divisors is an integer number (13428196096).

Almost surely, 2713813805264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713813805264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074255687680).

713813805264 is an abundant number, since it is smaller than the sum of its proper divisors (1434697570096).

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

713813805264 is a wasteful number, since it uses less digits than its factorization.

713813805264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142497 (or 142491 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 713813805264 in words is "seven hundred thirteen billion, eight hundred thirteen million, eight hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 223 268 336 402 446 469 536 669 804 892 938 1072 1338 1407 1561 1608 1784 1876 2676 2814 3122 3216 3568 3752 4683 5352 5628 6244 7504 9366 10704 11256 12488 14941 18732 22512 24976 29882 37464 44823 59764 74928 89646 104587 119528 142189 179292 209174 239056 284378 313761 358584 418348 426567 568756 627522 717168 836696 853134 995323 1137512 1255044 1673392 1706268 1990646 2275024 2510088 2985969 3412536 3981292 5020176 5971938 6825072 7962584 9526663 11943876 15925168 19053326 23887752 28579989 31708147 38106652 47775504 57159978 63416294 66686641 76213304 95124441 114319956 126832588 133373282 152426608 190248882 200059923 221957029 228639912 253665176 266746564 380497764 400119846 443914058 457279824 507330352 533493128 665871087 760995528 800239692 887828116 1066986256 1331742174 1521991056 1600479384 1775656232 2124445849 2663484348 3200958768 3551312464 4248891698 5326968696 6373337547 8497783396 10653937392 12746675094 14871120943 16995566792 25493350188 29742241886 33991133584 44613362829 50986700376 59484483772 89226725658 101973400752 118968967544 178453451316 237937935088 356906902632 713813805264