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20423344332402 = 23211619941170099
BaseRepresentation
bin1001010010011001011100…
…01011110001111001110010
32200022110012222111211111100
410221030232023301321302
510134104002122114102
6111234204352225230
74205352340333014
oct451145613617162
980273188454440
1020423344332402
116564545492930
12235a22083b216
13b51bb41317cb
145086d09421b4
152563d0e08a1c
hex12932e2f1e72

20423344332402 has 96 divisors (see below), whose sum is σ = 49069949947200. Its totient is φ = 6086786832000.

The previous prime is 20423344332397. The next prime is 20423344332431.

20423344332402 is a `hidden beast` number, since 2 + 0 + 42 + 3 + 344 + 33 + 240 + 2 = 666.

20423344332402 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×204233443324022 (a number of 27 digits) contains 22 as substring.

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, 119982349 + ... + 120152447.

It is an arithmetic number, because the mean of its divisors is an integer number (511145311950).

Almost surely, 220423344332402 is an apocalyptic number.

20423344332402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20423344332402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24534974973600).

20423344332402 is an abundant number, since it is smaller than the sum of its proper divisors (28646605614798).

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

20423344332402 is a wasteful number, since it uses less digits than its factorization.

20423344332402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180120 (or 180117 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 2042334 and 4332402, that added together give a palindrome (6374736).

The spelling of 20423344332402 in words is "twenty trillion, four hundred twenty-three billion, three hundred forty-four million, three hundred thirty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 9941 12078 19882 29823 59646 89469 109351 170099 178938 218702 328053 340198 510297 606401 656106 984159 1020594 1212802 1530891 1819203 1871089 1968318 3061782 3638406 3742178 5457609 5613267 6670411 10376039 10915218 11226534 13340822 16839801 20011233 20752078 31128117 33679602 40022466 60033699 62256234 93384351 114136429 120067398 186768702 228272858 342409287 684818574 1027227861 1690954159 2054455722 3381908318 5072862477 10145724954 15218587431 18600495749 30437174862 37200991498 55801487247 103148203699 111602974494 167404461741 206296407398 309444611097 334808923482 618889222194 928333833291 1134630240689 1856667666582 2269260481378 3403890722067 6807781444134 10211672166201 20423344332402