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21653234242056 = 2332853693522817
BaseRepresentation
bin1001110110001100010010…
…10101011101001000001000
32211200000210010100200021200
410323012021111131020020
510314231310431221211
6114015205233304200
74363252221145554
oct473061125351010
984600703320250
1021653234242056
1169990a325a49a
122518660405060
13c10b78047091
1454c044a18864
152783b4c23b56
hex13b18955d208

21653234242056 has 48 divisors (see below), whose sum is σ = 58644879668700. Its totient is φ = 7217658150912.

The previous prime is 21653234242027. The next prime is 21653234242091. The reversal of 21653234242056 is 65024243235612.

21653234242056 is a `hidden beast` number, since 2 + 1 + 6 + 532 + 3 + 42 + 4 + 20 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12197793741156 + 9455440500900 = 3492534^2 + 3074970^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4385160 + ... + 7907976.

Almost surely, 221653234242056 is an apocalyptic number.

It is an amenable number.

21653234242056 is an abundant number, since it is smaller than the sum of its proper divisors (36991645426644).

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

21653234242056 is a wasteful number, since it uses less digits than its factorization.

21653234242056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608198 (or 3608191 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 21653234242056 its reverse (65024243235612), we get a palindrome (86677477477668).

The spelling of 21653234242056 in words is "twenty-one trillion, six hundred fifty-three billion, two hundred thirty-four million, two hundred forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 85369 170738 256107 341476 512214 682952 768321 1024428 1536642 2048856 3073284 3522817 6146568 7045634 10568451 14091268 21136902 28182536 31705353 42273804 63410706 84547608 126821412 253642824 300739364473 601478728946 902218093419 1202957457892 1804436186838 2405914915784 2706654280257 3608872373676 5413308560514 7217744747352 10826617121028 21653234242056