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1085842047664 = 2411192609124459
BaseRepresentation
bin11111100110100010011…
…10101100001010110000
310211210202012101021021201
433303101032230022300
5120242301031011124
62150455015300544
7141310115055403
oct17632116541260
93753665337251
101085842047664
11389559589940
1215653a37a754
137b51884499a
143a7ab035d3a
151d3a2a6c144
hexfcd13ac2b0

1085842047664 has 80 divisors (see below), whose sum is σ = 2416814064000. Its totient is φ = 467404508160.

The previous prime is 1085842047617. The next prime is 1085842047691. The reversal of 1085842047664 is 4667402485801.

1085842047664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8662267 + ... + 8786725.

It is an arithmetic number, because the mean of its divisors is an integer number (30210175800).

Almost surely, 21085842047664 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 1085842047664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208407032000).

1085842047664 is an abundant number, since it is smaller than the sum of its proper divisors (1330972016336).

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

1085842047664 is a wasteful number, since it uses less digits than its factorization.

1085842047664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127106 (or 127100 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 1085842047664 in words is "one trillion, eighty-five billion, eight hundred forty-two million, forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 2609 3344 5218 10436 20872 28699 41744 49571 57398 99142 114796 124459 198284 229592 248918 396568 459184 497836 545281 793136 995672 1090562 1369049 1991344 2181124 2364721 2738098 4362248 4729442 5476196 8724496 9458884 10952392 18917768 21904784 26011931 37835536 52023862 104047724 208095448 324713531 416190896 649427062 1298854124 2597708248 3571848841 5195416496 6169557089 7143697682 12339114178 14287395364 24678228356 28574790728 49356456712 57149581456 67865127979 98712913424 135730255958 271460511916 542921023832 1085842047664