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61242422424216 = 23311835327771923
BaseRepresentation
bin11011110110011000111001…
…10101010111001010011000
322000211201101201101001202120
431323030130311113022120
531011343440120033331
6334130214102501240
715620422214332515
oct1573143465271230
9260751351331676
1061242422424216
1118571846965420
126a51237434820
13282319c056057
14111a21304830c
157130c8c7a796
hex37b31cd57298

61242422424216 has 64 divisors (see below), whose sum is σ = 167044790229120. Its totient is φ = 18556087403520.

The previous prime is 61242422424179. The next prime is 61242422424251.

61242422424216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×612424224242162 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11680770 + ... + 16091153.

It is an arithmetic number, because the mean of its divisors is an integer number (2610074847330).

Almost surely, 261242422424216 is an apocalyptic number.

61242422424216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61242422424216 is an abundant number, since it is smaller than the sum of its proper divisors (105802367804904).

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

61242422424216 is a wasteful number, since it uses less digits than its factorization.

61242422424216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27780296 (or 27780292 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 6124242 and 2424216, that added together give a palindrome (8548458).

The spelling of 61242422424216 in words is "sixty-one trillion, two hundred forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 8353 16706 25059 33412 50118 66824 91883 100236 183766 200472 275649 367532 551298 735064 1102596 2205192 27771923 55543846 83315769 111087692 166631538 222175384 305491153 333263076 610982306 666526152 916473459 1221964612 1832946918 2443929224 3665893836 7331787672 231978872819 463957745638 695936618457 927915491276 1391873236914 1855830982552 2551767601009 2783746473828 5103535202018 5567492947656 7655302803027 10207070404036 15310605606054 20414140808072 30621211212108 61242422424216