Search a number
-
+
54644255244645 = 35112101298089383
BaseRepresentation
bin11000110110010110110110…
…11011000100000101100101
321011110221101002202101100020
430123023123123010011211
524130242413320312040
6312115120241105353
714336626404564153
oct1433133333040545
9234427332671306
1054644255244645
1116458553570600
12616650a628259
132464c149aa7b1
14d6cb205923d3
1564b650d12cd0
hex31b2db6c4165

54644255244645 has 48 divisors (see below), whose sum is σ = 97053134000256. Its totient is φ = 26231865616000.

The previous prime is 54644255244637. The next prime is 54644255244679.

54644255244645 is nontrivially palindromic in base 10.

54644255244645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54644255244645 - 23 = 54644255244637 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 148861377 + ... + 149228006.

It is an arithmetic number, because the mean of its divisors is an integer number (2021940291672).

Almost surely, 254644255244645 is an apocalyptic number.

54644255244645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54644255244645 is a deficient number, since it is larger than the sum of its proper divisors (42408878755611).

54644255244645 is a wasteful number, since it uses less digits than its factorization.

54644255244645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298089514 (or 298089503 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 60.

The spelling of 54644255244645 in words is "fifty-four trillion, six hundred forty-four billion, two hundred fifty-five million, two hundred forty-four thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 101 121 165 303 363 505 605 1111 1515 1815 3333 5555 12221 16665 36663 61105 183315 298089383 894268149 1490446915 3278983213 4471340745 9836949639 16394916065 30107027683 36068815343 49184748195 90321083049 108206446029 150535138415 180344076715 331177304513 451605415245 541032230145 993531913539 1655886522565 3642950349643 4967659567695 10928851048929 18214751748215 54644255244645