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21435111992 = 2379717092309
BaseRepresentation
bin10011111101101000…
…011101101000111000
32001022211221111210202
4103331220131220320
5322344342040432
613502552501332
71356116305610
oct237550355070
961284844722
1021435111992
1190aa61a998
1241a26aa848
132037acb128
141074b37a40
15856c49462
hex4fda1da38

21435111992 has 64 divisors (see below), whose sum is σ = 46453176000. Its totient is φ = 9082515456.

The previous prime is 21435111967. The next prime is 21435112003. The reversal of 21435111992 is 29911153412.

It is a super-2 number, since 2×214351119922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9282134 + ... + 9284442.

It is an arithmetic number, because the mean of its divisors is an integer number (725830875).

Almost surely, 221435111992 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 21435111992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226588000).

21435111992 is an abundant number, since it is smaller than the sum of its proper divisors (25018064008).

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

21435111992 is a wasteful number, since it uses less digits than its factorization.

21435111992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4124 counting only the distinct ones).

The product of its digits is 19440, while the sum is 38.

The spelling of 21435111992 in words is "twenty-one billion, four hundred thirty-five million, one hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 1709 2309 2716 3418 4618 5432 6836 9236 11963 13672 16163 18472 23926 32326 47852 64652 95704 129304 165773 223973 331546 447946 663092 895892 1160411 1326184 1567811 1791784 2320822 3135622 3946081 4641644 6271244 7892162 9283288 12542488 15784324 27622567 31568648 55245134 110490268 220980536 382769857 765539714 1531079428 2679388999 3062158856 5358777998 10717555996 21435111992