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1075723683241 = 281236912
BaseRepresentation
bin11111010011101100010…
…00001100010110101001
310210211122000220002200211
433221312020030112221
5120111040230330431
62142103003501121
7140501302303564
oct17516610142651
93724560802624
101075723683241
11385236a7a999
121545958277a1
137a595483bbc
143a0cb2a14db
151ceae5cd2b1
hexfa7620c5a9

1075723683241 has 9 divisors (see below), whose sum is σ = 1079858070039. Its totient is φ = 1071605077200.

The previous prime is 1075723683239. The next prime is 1075723683319. The reversal of 1075723683241 is 1423863275701.

The square root of 1075723683241 is 1037171.

It is a perfect power (a square), and thus also a powerful number.

1075723683241 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 only one way, i.e., 726962569641 + 348761113600 = 852621^2 + 590560^2 .

It is not a de Polignac number, because 1075723683241 - 21 = 1075723683239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1075723623241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 291443206 + ... + 291446896.

Almost surely, 21075723683241 is an apocalyptic number.

1075723683241 is the 1037171-st square number.

1075723683241 is the 518586-th centered octagonal number.

It is an amenable number.

1075723683241 is a deficient number, since it is larger than the sum of its proper divisors (4134386798).

1075723683241 is an frugal number, since it uses more digits than its factorization.

1075723683241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 1075723683241 by its sum of digits (49), we get a square (52710460478809 = 72601972).

The spelling of 1075723683241 in words is "one trillion, seventy-five billion, seven hundred twenty-three million, six hundred eighty-three thousand, two hundred forty-one".

Divisors: 1 281 3691 78961 1037171 13623481 291445051 3828198161 1075723683241