Search a number
-
+
1055656103265 = 33531125143649
BaseRepresentation
bin11110101110010100000…
…00011100110101100001
310201220211111012102011000
433113022000130311201
5114243440430301030
62124543421542213
7136161066552531
oct17271200346541
93656744172130
101055656103265
11377779393055
12150715114969
1378717aa711a
14391460274c1
151c6d7963860
hexf5ca01cd61

1055656103265 has 32 divisors (see below), whose sum is σ = 1882756512000. Its totient is φ = 561206223360.

The previous prime is 1055656103213. The next prime is 1055656103269. The reversal of 1055656103265 is 5623016565501.

1055656103265 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 5 + 610 + 3 + 26 + 5 = 666.

It is not a de Polignac number, because 1055656103265 - 213 = 1055656095073 is a prime.

It is a super-2 number, since 2×10556561032652 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1055656103265.

It is not an unprimeable number, because it can be changed into a prime (1055656103269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12529840 + ... + 12613809.

It is an arithmetic number, because the mean of its divisors is an integer number (58836141000).

Almost surely, 21055656103265 is an apocalyptic number.

1055656103265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1055656103265 is a deficient number, since it is larger than the sum of its proper divisors (827100408735).

1055656103265 is a wasteful number, since it uses less digits than its factorization.

1055656103265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25143974 (or 25143968 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 1055656103265 in words is "one trillion, fifty-five billion, six hundred fifty-six million, one hundred three thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 311 933 1555 2799 4665 8397 13995 41985 25143649 75430947 125718245 226292841 377154735 678878523 1131464205 3394392615 7819674839 23459024517 39098374195 70377073551 117295122585 211131220653 351885367755 1055656103265