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49231444413294 = 23311136375478427
BaseRepresentation
bin10110011000110100101101…
…10000011000101101101110
320110022110222000020020002000
423030122112300120231232
522423101444232211134
6252412340251513130
713240566041626323
oct1314322660305556
9213273860206060
1049231444413294
1114760a35a01520
1256314731587a6
13216167516a720
14c22b59480b4a
155a59521b0e99
hex2cc696c18b6e

49231444413294 has 64 divisors (see below), whose sum is σ = 128529645108480. Its totient is φ = 13771033400160.

The previous prime is 49231444413233. The next prime is 49231444413373.

49231444413294 is a `hidden beast` number, since 4 + 9 + 23 + 144 + 441 + 32 + 9 + 4 = 666.

49231444413294 is nontrivially palindromic in base 10.

49231444413294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49231444413294.

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 31 ways as a sum of consecutive naturals, for example, 3187731492 + ... + 3187746935.

It is an arithmetic number, because the mean of its divisors is an integer number (2008275704820).

Almost surely, 249231444413294 is an apocalyptic number.

49231444413294 is an abundant number, since it is smaller than the sum of its proper divisors (79298200695186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49231444413294 is a wasteful number, since it uses less digits than its factorization.

49231444413294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375478462 (or 6375478456 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 49231444413294 in words is "forty-nine trillion, two hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 6375478427 12750956854 19126435281 38252870562 57379305843 70130262697 82881219551 114758611686 140260525394 165762439102 172137917529 210390788091 248643658653 344275835058 420781576182 497287317306 631172364273 745930975959 911693415061 1262344728546 1491861951918 1823386830122 1893517092819 2237792927877 2735080245183 3787034185638 4475585855754 5470160490366 8205240735549 16410481471098 24615722206647 49231444413294