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21305860963452 = 223213379543722093
BaseRepresentation
bin1001101100000101010000…
…10001100011110001111100
32210102211011002020202021100
410312002220101203301330
510243033400401312302
6113151435530333100
74326204045043302
oct466025021436174
983384132222240
1021305860963452
11687484608687a
12248127588a190
13bb7198716290
145392cdd82272
1526e3335ccd1c
hex1360a8463c7c

21305860963452 has 144 divisors (see below), whose sum is σ = 58165648908640. Its totient is φ = 6536853840384.

The previous prime is 21305860963433. The next prime is 21305860963469. The reversal of 21305860963452 is 25436906850312.

It is a happy number.

21305860963452 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 586 + 0 + 9 + 6 + 3 + 4 + 52 = 666.

It is a super-2 number, since 2×213058609634522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964360518 + ... + 964382610.

Almost surely, 221305860963452 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 21305860963452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29082824454320).

21305860963452 is an abundant number, since it is smaller than the sum of its proper divisors (36859787945188).

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

21305860963452 is a wasteful number, since it uses less digits than its factorization.

21305860963452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27932 (or 27927 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 21305860963452 in words is "twenty-one trillion, three hundred five billion, eight hundred sixty million, nine hundred sixty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 379 468 758 1137 1516 2274 3411 4548 4927 5437 6822 9854 10874 13644 14781 16311 19708 21748 22093 29562 32622 44186 44343 48933 59124 65244 66279 70681 88372 88686 97866 132558 141362 177372 195732 198837 212043 265116 282724 287209 397674 424086 574418 636129 795348 848172 861627 1148836 1272258 1723254 2060623 2544516 2584881 3446508 4121246 5169762 6181869 8242492 8373247 10339524 12363738 16746494 18545607 24727476 25119741 26788099 33492988 37091214 50239482 53576198 74182428 75359223 80364297 100478964 107152396 108852211 120119641 150718446 160728594 217704422 240239282 241092891 301436892 321457188 326556633 360358923 435408844 480478564 482185782 653113266 720717846 964371564 979669899 1081076769 1306226532 1441435692 1561555333 1959339798 2162153538 3123110666 3918679596 4324307076 4684665999 6246221332 9369331998 14053997997 18738663996 28107995994 45525343939 56215991988 91050687878 136576031817 182101375756 273152063634 409728095451 546304127268 591829471207 819456190902 1183658942414 1638912381804 1775488413621 2367317884828 3550976827242 5326465240863 7101953654484 10652930481726 21305860963452