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21350343201152 = 277112928197487
BaseRepresentation
bin1001101101011000000111…
…00111110101000110000000
32210121001222010102112222112
410312230003213311012000
510244301000324414102
6113224113503154452
74332340256605430
oct466540347650600
983531863375875
1021350343201152
1168916a2153399
122489a0a8a5a28
13bbb4372935a4
1453b50d9542c0
15270588845252
hex136b039f5180

21350343201152 has 128 divisors (see below), whose sum is σ = 48676972032000. Its totient is φ = 9137578807296.

The previous prime is 21350343201149. The next prime is 21350343201163. The reversal of 21350343201152 is 25110234305312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 2851651553 + ... + 2851659039.

It is an arithmetic number, because the mean of its divisors is an integer number (380288844000).

Almost surely, 221350343201152 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 21350343201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24338486016000).

21350343201152 is an abundant number, since it is smaller than the sum of its proper divisors (27326628830848).

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

21350343201152 is a wasteful number, since it uses less digits than its factorization.

21350343201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11456 (or 11444 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 21350343201152 its reverse (25110234305312), we get a palindrome (46460577506464).

The spelling of 21350343201152 in words is "twenty-one trillion, three hundred fifty billion, three hundred forty-three million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1129 2258 2819 4516 5638 7487 7903 9032 11276 14974 15806 18064 19733 22552 29948 31612 36128 39466 45104 52409 59896 63224 72256 78932 90208 104818 119792 126448 144512 157864 180416 209636 239584 252896 315728 360832 419272 479168 505792 631456 838544 958336 1011584 1262912 1677088 2525824 3182651 3354176 6365302 6708352 8452823 12730604 16905646 21105853 22278557 25461208 33811292 42211706 44557114 50922416 59169761 67622584 84423412 89114228 101844832 118339522 135245168 147740971 168846824 178228456 203689664 236679044 270490336 295481942 337693648 356456912 407379328 473358088 540980672 590963884 675387296 712913824 946716176 1081961344 1181927768 1350774592 1425827648 1893432352 2363855536 2701549184 2851655296 3786864704 4727711072 7573729408 9455422144 18910844288 23828508037 47657016074 95314032148 166799556259 190628064296 333599112518 381256128592 667198225036 762512257184 1334396450072 1525024514368 2668792900144 3050049028736 5337585800288 10675171600576 21350343201152