Search a number
-
+
1053726546561 = 31337730233227
BaseRepresentation
bin11110101010101101111…
…11110001101010000001
310201201212000101202221220
433111112333301222001
5114231012443442221
62124024132505253
7136062216602013
oct17252677615201
93651760352856
101053726546561
1137697918a597
12150276a7b229
137849b0c52b0
1439001a681b3
151c6233680c6
hexf556ff1a81

1053726546561 has 16 divisors (see below), whose sum is σ = 1553936309184. Its totient is φ = 630921507264.

The previous prime is 1053726546539. The next prime is 1053726546581. The reversal of 1053726546561 is 1656456273501.

It is a happy number.

It is not a de Polignac number, because 1053726546561 - 25 = 1053726546529 is a prime.

It is a super-2 number, since 2×10537265465612 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053726546511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365115171 + ... + 365118056.

It is an arithmetic number, because the mean of its divisors is an integer number (97121019324).

Almost surely, 21053726546561 is an apocalyptic number.

It is an amenable number.

1053726546561 is a deficient number, since it is larger than the sum of its proper divisors (500209762623).

1053726546561 is a wasteful number, since it uses less digits than its factorization.

1053726546561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730233280.

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 1053726546561 in words is "one trillion, fifty-three billion, seven hundred twenty-six million, five hundred forty-six thousand, five hundred sixty-one".

Divisors: 1 3 13 37 39 111 481 1443 730233227 2190699681 9493031951 27018629399 28479095853 81055888197 351242182187 1053726546561