Search a number
-
+
21513503212352 = 2631103915116907
BaseRepresentation
bin1001110010001000000001…
…01101111000001101000000
32211011200010000202220102022
410321010000231320031000
510304434123310243402
6113431100020341012
74350204444041324
oct471040055701500
984150100686368
1021513503212352
116944909786758
1224b5564844768
13c0093a10a308
1454538b003984
152749379322a2
hex139100b78340

21513503212352 has 112 divisors (see below), whose sum is σ = 44145979637760. Its totient is φ = 10391353228800.

The previous prime is 21513503212319. The next prime is 21513503212363. The reversal of 21513503212352 is 25321230531512.

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, 3114735683 + ... + 3114742589.

It is an arithmetic number, because the mean of its divisors is an integer number (394160532480).

Almost surely, 221513503212352 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 21513503212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22072989818880).

21513503212352 is an abundant number, since it is smaller than the sum of its proper divisors (22632476425408).

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

21513503212352 is a wasteful number, since it uses less digits than its factorization.

21513503212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9490 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 21513503212352 its reverse (25321230531512), we get a palindrome (46834733743864).

The spelling of 21513503212352 in words is "twenty-one trillion, five hundred thirteen billion, five hundred three million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1039 1511 1984 2078 3022 4156 6044 6907 8312 12088 13814 16624 24176 27628 32209 33248 46841 48352 55256 64418 66496 93682 96704 110512 128836 187364 214117 221024 257672 374728 428234 442048 515344 749456 856468 1030688 1498912 1569929 1712936 2061376 2997824 3139858 3425872 6279716 6851744 7176373 10436477 12559432 13703488 14352746 20872954 25118864 28705492 41745908 48667799 50237728 57410984 83491816 97335598 100475456 114821968 166983632 194671196 222467563 229643936 323530787 333967264 389342392 444935126 459287872 647061574 667934528 778684784 889870252 1294123148 1557369568 1779740504 2588246296 3114739136 3559481008 5176492592 7118962016 10352985184 10843499603 14237924032 20705970368 21686999206 43373998412 86747996824 173495993648 336148487693 346991987296 672296975386 693983974592 1344593950772 2689187901544 5378375803088 10756751606176 21513503212352