Search a number
-
+
857545216704 = 26341115038321
BaseRepresentation
bin11000111101010011010…
…11011001001011000000
310000222110210121122010000
430132221223121023000
5103022223033413304
61453541214040000
7115645525034061
oct14365153311300
93028423548100
10857545216704
11300756a11830
1211a2461a9000
1362b34c79567
142d710bb8568
151749029b939
hexc7a9ad92c0

857545216704 has 140 divisors (see below), whose sum is σ = 2773126730088. Its totient is φ = 259862169600.

The previous prime is 857545216643. The next prime is 857545216729. The reversal of 857545216704 is 407612545758.

It is a happy number.

857545216704 is a `hidden beast` number, since 8 + 5 + 7 + 54 + 521 + 67 + 0 + 4 = 666.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7462137 + ... + 7576184.

Almost surely, 2857545216704 is an apocalyptic number.

It is an amenable number.

857545216704 is an abundant number, since it is smaller than the sum of its proper divisors (1915581513384).

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

857545216704 is a wasteful number, since it uses less digits than its factorization.

857545216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038356 (or 15038337 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 857545216704 in words is "eight hundred fifty-seven billion, five hundred forty-five million, two hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 57024 15038321 30076642 45114963 60153284 90229926 120306568 135344889 165421531 180459852 240613136 270689778 330843062 360919704 406034667 481226272 496264593 541379556 661686124 721839408 812069334 962452544 992529186 1082759112 1218104001 1323372248 1443678816 1488793779 1624138668 1985058372 2165518224 2436208002 2646744496 2887357632 2977587558 3248277336 3970116744 4331036448 4466381337 4872416004 5293488992 5955175116 6496554672 7940233488 8662072896 8932762674 9744832008 10586977984 11910350232 12993109344 13399144011 15880466976 17865525348 19489664016 23820700464 25986218688 26798288022 31760933952 35731050696 38979328032 47641400928 53596576044 71462101392 77958656064 95282801856 107193152088 142924202784 214386304176 285848405568 428772608352 857545216704