Search a number
-
+
1085432415804 = 2232115581491129
BaseRepresentation
bin11111100101110001101…
…00000100011000111100
310211202200122120211000100
433302320310010120330
5120240431144301204
62150350223401100
7141264012206412
oct17627064043074
93752618524010
101085432415804
11389369335410
12156445153190
137b481a10279
143a76c8852b2
151d37bb04a39
hexfcb8d0463c

1085432415804 has 72 divisors (see below), whose sum is σ = 2993704524720. Its totient is φ = 328859308800.

The previous prime is 1085432415791. The next prime is 1085432415811. The reversal of 1085432415804 is 4085142345801.

1085432415804 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 43 + 24 + 1 + 580 + 4 = 666.

1085432415804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1085432415804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1964512 + ... + 2455640.

It is an arithmetic number, because the mean of its divisors is an integer number (41579229510).

Almost surely, 21085432415804 is an apocalyptic number.

It is an amenable number.

1085432415804 is an abundant number, since it is smaller than the sum of its proper divisors (1908272108916).

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

1085432415804 is a wasteful number, since it uses less digits than its factorization.

1085432415804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496731 (or 496726 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1085432415804 in words is "one trillion, eighty-five billion, four hundred thirty-two million, four hundred fifteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5581 11162 16743 22324 33486 50229 61391 66972 100458 122782 184173 200916 245564 368346 491129 552519 736692 982258 1105038 1473387 1964516 2210076 2946774 4420161 5402419 5893548 8840322 10804838 16207257 17680644 21609676 32414514 48621771 64829028 97243542 194487084 2740990949 5481981898 8222972847 10963963796 16445945694 24668918541 30150900439 32891891388 49337837082 60301800878 90452701317 98675674164 120603601756 180905402634 271358103951 361810805268 542716207902 1085432415804