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1075683831885 = 325134494095269
BaseRepresentation
bin11111010011100111100…
…00001011000001001101
310210211112020220102220200
433221303300023001031
5120111000030110020
62142055021404113
7140500306465065
oct17516360130115
93724466812820
101075683831885
11385216530a93
12154584409639
137a58a13cc10
143a0c5c8a3a5
151ceaad5a590
hexfa73c0b04d

1075683831885 has 48 divisors (see below), whose sum is σ = 2012415678000. Its totient is φ = 528387858432.

The previous prime is 1075683831877. The next prime is 1075683831907. The reversal of 1075683831885 is 5881383865701.

1075683831885 is a `hidden beast` number, since 1 + 0 + 7 + 568 + 38 + 31 + 8 + 8 + 5 = 666.

1075683831885 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2514220164 + 1073169611721 = 50142^2 + 1035939^2 .

It is not a de Polignac number, because 1075683831885 - 23 = 1075683831877 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784970 + ... + 2310299.

It is an arithmetic number, because the mean of its divisors is an integer number (41925326625).

Almost surely, 21075683831885 is an apocalyptic number.

1075683831885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1075683831885 is a deficient number, since it is larger than the sum of its proper divisors (936731846115).

1075683831885 is a wasteful number, since it uses less digits than its factorization.

1075683831885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095742 (or 4095739 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 1075683831885 in words is "one trillion, seventy-five billion, six hundred eighty-three million, eight hundred thirty-one thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 449 585 1347 2245 4041 5837 6735 17511 20205 29185 52533 87555 262665 4095269 12285807 20476345 36857421 53238497 61429035 159715491 184287105 266192485 479146473 798577455 1838775781 2395732365 5516327343 9193878905 16548982029 23904085153 27581636715 71712255459 82744910145 119520425765 215136766377 358561277295 1075683831885