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21112300672 = 27298396779
BaseRepresentation
bin10011101010011001…
…000010010010000000
32000111100111222220221
4103222121002102000
5321214222110142
613410541512424
71345116411001
oct235231022200
960440458827
1021112300672
118a54385a81
124112572714
131cb5c74408
141043d071a8
15838731767
hex4ea642480

21112300672 has 64 divisors (see below), whose sum is σ = 43568280000. Its totient is φ = 10178495488.

The previous prime is 21112300631. The next prime is 21112300681. The reversal of 21112300672 is 27600321112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3110979 + ... + 3117757.

It is an arithmetic number, because the mean of its divisors is an integer number (680754375).

Almost surely, 221112300672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784140000).

21112300672 is an abundant number, since it is smaller than the sum of its proper divisors (22455979328).

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

21112300672 is an equidigital number, since it uses as much as digits as its factorization.

21112300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 21112300672 its reverse (27600321112), we get a palindrome (48712621784).

The spelling of 21112300672 in words is "twenty-one billion, one hundred twelve million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 839 928 1678 1856 3356 3712 6712 6779 13424 13558 24331 26848 27116 48662 53696 54232 97324 107392 108464 194648 196591 216928 389296 393182 433856 778592 786364 867712 1557184 1572728 3114368 3145456 5687581 6290912 11375162 12581824 22750324 25163648 45500648 91001296 164939849 182002592 329879698 364005184 659759396 728010368 1319518792 2639037584 5278075168 10556150336 21112300672