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21260542401364 = 2272731499972617
BaseRepresentation
bin1001101010110000110110…
…00100111101101101010100
32210021111011202101021011211
410311120123010331231110
510241313042323320424
6113114543000311204
74323011026445500
oct465303304755524
983244152337154
1021260542401364
1168575aaa19382
122474528772504
13bb2b25808576
145370312ab300
1526d07ec15b94
hex13561b13db54

21260542401364 has 72 divisors (see below), whose sum is σ = 44167727860200. Its totient is φ = 8926528472064.

The previous prime is 21260542401277. The next prime is 21260542401377. The reversal of 21260542401364 is 46310424506212.

It can be written as a sum of positive squares in 4 ways, for example, as 6985616400 + 21253556784964 = 83580^2 + 4610158^2 .

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 23 ways as a sum of consecutive naturals, for example, 2854417 + ... + 7118200.

It is an arithmetic number, because the mean of its divisors is an integer number (613440664725).

Almost surely, 221260542401364 is an apocalyptic number.

It is an amenable number.

21260542401364 is an abundant number, since it is smaller than the sum of its proper divisors (22907185458836).

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

21260542401364 is a wasteful number, since it uses less digits than its factorization.

21260542401364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972857 (or 9972848 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 21260542401364 its reverse (46310424506212), we get a palindrome (67570966907576).

The spelling of 21260542401364 in words is "twenty-one trillion, two hundred sixty billion, five hundred forty-two million, four hundred one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 73 98 146 149 196 292 298 511 596 1022 1043 2044 2086 3577 4172 7154 7301 10877 14308 14602 21754 29204 43508 76139 152278 304556 532973 1065946 2131892 9972617 19945234 39890468 69808319 139616638 279233276 488658233 728001041 977316466 1456002082 1485919933 1954632932 2912004164 2971839866 5096007287 5943679732 10192014574 10401439531 20384029148 20802879062 35672051009 41605758124 71344102018 72810076717 108472155109 142688204036 145620153434 216944310218 291240306868 433888620436 759305085763 1518610171526 3037220343052 5315135600341 10630271200682 21260542401364