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21435145520 = 2451399771973
BaseRepresentation
bin10011111101101000…
…100101110100110000
32001022212000012210112
4103331220211310300
5322344344124040
613502553320452
71356116505425
oct237550456460
961285005715
1021435145520
1190aa6430a8
1241a2706128
132037b10479
141074b45d4c
15856c54365
hex4fda25d30

21435145520 has 80 divisors (see below), whose sum is σ = 50272094880. Its totient is φ = 8499351552.

The previous prime is 21435145493. The next prime is 21435145531. The reversal of 21435145520 is 2554153412.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10863254 + ... + 10865226.

It is an arithmetic number, because the mean of its divisors is an integer number (628401186).

Almost surely, 221435145520 is an apocalyptic number.

21435145520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21435145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25136047440).

21435145520 is an abundant number, since it is smaller than the sum of its proper divisors (28836949360).

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

21435145520 is a wasteful number, since it uses less digits than its factorization.

21435145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 21435145520 its reverse (2554153412), we get a palindrome (23989298932).

The spelling of 21435145520 in words is "twenty-one billion, four hundred thirty-five million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 977 1112 1390 1954 1973 2224 2780 3908 3946 4885 5560 7816 7892 9770 9865 11120 15632 15784 19540 19730 31568 39080 39460 78160 78920 135803 157840 271606 274247 543212 548494 679015 1086424 1096988 1358030 1371235 1927621 2172848 2193976 2716060 2742470 3855242 4387952 5432120 5484940 7710484 9638105 10864240 10969880 15420968 19276210 21939760 30841936 38552420 77104840 154209680 267939319 535878638 1071757276 1339696595 2143514552 2679393190 4287029104 5358786380 10717572760 21435145520