Search a number
-
+
806713422368 = 2573131561053
BaseRepresentation
bin10111011110100111101…
…11011111001000100000
32212010021020121221011112
423233103313133020200
5101204122114003433
61414333220202452
7112166052644000
oct13572367371040
92763236557145
10806713422368
11291141772347
1211041a839428
135b0c3aa4049
142b08bc04000
1515eb789e348
hexbbd3ddf220

806713422368 has 96 divisors (see below), whose sum is σ = 1866290025600. Its totient is φ = 343094519040.

The previous prime is 806713422331. The next prime is 806713422377. The reversal of 806713422368 is 863224317608.

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, 1157330 + ... + 1718382.

It is an arithmetic number, because the mean of its divisors is an integer number (19440521100).

Almost surely, 2806713422368 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 806713422368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933145012800).

806713422368 is an abundant number, since it is smaller than the sum of its proper divisors (1059576603232).

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

806713422368 is a wasteful number, since it uses less digits than its factorization.

806713422368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561215 (or 561193 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 806713422368 in words is "eight hundred six billion, seven hundred thirteen million, four hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 131 196 224 262 343 392 524 686 784 917 1048 1372 1568 1834 2096 2744 3668 4192 5488 6419 7336 10976 12838 14672 25676 29344 44933 51352 89866 102704 179732 205408 359464 561053 718928 1122106 1437856 2244212 3927371 4488424 7854742 8976848 15709484 17953696 27491597 31418968 54983194 62837936 73497943 109966388 125675872 146995886 192441179 219932776 293991772 384882358 439865552 514485601 587983544 769764716 879731104 1028971202 1175967088 1539529432 2057942404 2351934176 3079058864 3601399207 4115884808 6158117728 7202798414 8231769616 14405596828 16463539232 25209794449 28811193656 50419588898 57622387312 100839177796 115244774624 201678355592 403356711184 806713422368