Search a number
-
+
1053688334864 = 241122782731891
BaseRepresentation
bin11110101010101001011…
…10000000101000010000
310201201202100111102100212
433111110232000220100
5114230423203203424
62124020245503252
7136061244032444
oct17252456005020
93651670442325
101053688334864
11376959660580
12150266111b28
1378493206719
1438dda95c824
151c61ed1b10e
hexf554b80a10

1053688334864 has 80 divisors (see below), whose sum is σ = 2239700150016. Its totient is φ = 476247811200.

The previous prime is 1053688334851. The next prime is 1053688334927. The reversal of 1053688334864 is 4684338863501.

It is a super-2 number, since 2×10536883348642 (a number of 25 digits) contains 22 as substring.

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, 33024359 + ... + 33056249.

Almost surely, 21053688334864 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 1053688334864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119850075008).

1053688334864 is an abundant number, since it is smaller than the sum of its proper divisors (1186011815152).

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

1053688334864 is a wasteful number, since it uses less digits than its factorization.

1053688334864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32964 (or 32958 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 59.

The spelling of 1053688334864 in words is "one trillion, fifty-three billion, six hundred eighty-eight million, three hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 227 454 827 908 1654 1816 2497 3308 3632 4994 6616 9097 9988 13232 18194 19976 31891 36388 39952 63782 72776 127564 145552 187729 255128 350801 375458 510256 701602 750916 1403204 1501832 2065019 2806408 3003664 4130038 5612816 7239257 8260076 14478514 16520152 26373857 28957028 33040304 52747714 57914056 79631827 105495428 115828112 159263654 210990856 290112427 318527308 421981712 580224854 637054616 1160449708 1274109232 2320899416 4641798832 5986865539 11973731078 23947462156 47894924312 65855520929 95789848624 131711041858 263422083716 526844167432 1053688334864