Search a number
-
+
857328061722 = 23113971106741
BaseRepresentation
bin11000111100111001011…
…11000000110100011010
310000221220200000000110220
430132130233000310122
5103021301440433342
61453503455420510
7115640250200136
oct14363457006432
93027820000426
10857328061722
11300655382000
1211a1a5524736
1362acbc96aa2
142d6d000c3c6
151747b1a45ec
hexc79cbc0d1a

857328061722 has 64 divisors (see below), whose sum is σ = 1905437858688. Its totient is φ = 257117836800.

The previous prime is 857328061721. The next prime is 857328061727. The reversal of 857328061722 is 227160823758.

857328061722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8573280617222 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (857328061721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221272 + ... + 1328012.

It is an arithmetic number, because the mean of its divisors is an integer number (29772466542).

Almost surely, 2857328061722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857328061722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952718929344).

857328061722 is an abundant number, since it is smaller than the sum of its proper divisors (1048109796966).

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

857328061722 is a wasteful number, since it uses less digits than its factorization.

857328061722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106876 (or 1106854 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 857328061722 in words is "eight hundred fifty-seven billion, three hundred twenty-eight million, sixty-one thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 97 121 194 242 291 363 582 726 1067 1331 2134 2662 3201 3993 6402 7986 11737 23474 35211 70422 129107 258214 387321 774642 1106741 2213482 3320223 6640446 12174151 24348302 36522453 73044906 107353877 133915661 214707754 267831322 322061631 401746983 644123262 803493966 1180892647 1473072271 2361785294 2946144542 3542677941 4419216813 7085355882 8838433626 12989819117 25979638234 38969457351 77938914702 142888010287 285776020574 428664030861 857328061722