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21342441564 = 22322360925111
BaseRepresentation
bin10011111000000110…
…111101000001011100
32001002101120100212200
4103320012331001130
5322202131112224
613445442331500
71353612521463
oct237006750134
961071510780
1021342441564
119062285264
124177659b90
132021852862
1410666d39da
1584da415c9
hex4f81bd05c

21342441564 has 36 divisors (see below), whose sum is σ = 53953383120. Its totient is φ = 7113562560.

The previous prime is 21342441559. The next prime is 21342441577. The reversal of 21342441564 is 46514424312.

21342441564 is a `hidden beast` number, since 2 + 1 + 34 + 24 + 41 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837369 + ... + 862479.

Almost surely, 221342441564 is an apocalyptic number.

It is an amenable number.

21342441564 is an abundant number, since it is smaller than the sum of its proper divisors (32610941556).

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

21342441564 is a wasteful number, since it uses less digits than its factorization.

21342441564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48730 (or 48725 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 21342441564 its reverse (46514424312), we get a palindrome (67856865876).

The spelling of 21342441564 in words is "twenty-one billion, three hundred forty-two million, four hundred forty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 23609 25111 47218 50222 70827 75333 94436 100444 141654 150666 212481 225999 283308 301332 424962 451998 849924 903996 592845599 1185691198 1778536797 2371382396 3557073594 5335610391 7114147188 10671220782 21342441564