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21506201631304 = 23131959197393497
BaseRepresentation
bin1001110001111010011011…
…00000100011101001001000
32211010222021011120011012121
410320331031200203221020
510304324200104200204
6113423451310221024
74346525503446115
oct470751540435110
984128234504177
1021506201631304
116941802178855
1224b40674b4774
13c000454a1a60
14544c973c190c
1527465b8e5b54
hex138f4d823a48

21506201631304 has 128 divisors (see below), whose sum is σ = 46510393104000. Its totient is φ = 9239355500544.

The previous prime is 21506201631199. The next prime is 21506201631353. The reversal of 21506201631304 is 40313610260512.

It is a self number, because there is not a number n which added to its sum of digits gives 21506201631304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229973484 + ... + 230066980.

It is an arithmetic number, because the mean of its divisors is an integer number (363362446125).

Almost surely, 221506201631304 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 21506201631304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23255196552000).

21506201631304 is an abundant number, since it is smaller than the sum of its proper divisors (25004191472696).

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

21506201631304 is a wasteful number, since it uses less digits than its factorization.

21506201631304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95567 (or 95563 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 21506201631304 its reverse (40313610260512), we get a palindrome (61819811891816).

The spelling of 21506201631304 in words is "twenty-one trillion, five hundred six billion, two hundred one million, six hundred thirty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 19 26 38 52 59 76 104 118 152 236 247 472 494 767 988 1121 1534 1973 1976 2242 3068 3946 4484 6136 7892 8968 14573 15784 25649 29146 37487 51298 58292 74974 93497 102596 116407 116584 149948 186994 205192 232814 299896 373988 465628 487331 747976 931256 974662 1215461 1513291 1776443 1949324 2211733 2430922 3026582 3552886 3898648 4423466 4861844 5516323 6053164 7105772 8846932 9723688 11032646 12106328 14211544 17693864 22065292 23093759 28752529 44130584 46187518 57505058 71712199 92375036 104810137 115010116 143424398 184469581 184750072 209620274 230020232 286848796 368939162 419240548 573697592 737878324 838481096 1362531781 1475756648 2398104553 2725063562 3504922039 4796209106 5450127124 7009844078 9592418212 10883705279 10900254248 14019688156 19184836424 21767410558 28039376312 43534821116 45563986507 87069642232 91127973014 141488168627 182255946028 206790400301 282976337254 364511892056 413580800602 565952674508 827161601204 1131905349016 1654323202408 2688275203913 5376550407826 10753100815652 21506201631304