Search a number
-
+
21421614601656 = 23321763347276277
BaseRepresentation
bin1001101111011100110111…
…01110101001010110111000
32210211212221011010211110200
410313232123232221112320
510301432431314223111
6113320542012442200
74340442402532203
oct467563356512670
983755834124420
1021421614601656
116909945a89485
12249b79b479360
13bc5084c41519
14540b5136493a
1527235a897256
hex137b9bba95b8

21421614601656 has 96 divisors (see below), whose sum is σ = 61430822191440. Its totient is φ = 6720376126464.

The previous prime is 21421614601601. The next prime is 21421614601697. The reversal of 21421614601656 is 65610641612412.

21421614601656 is a `hidden beast` number, since 2 + 1 + 4 + 21 + 6 + 1 + 460 + 165 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77398590 + ... + 77674866.

Almost surely, 221421614601656 is an apocalyptic number.

It is an amenable number.

21421614601656 is an abundant number, since it is smaller than the sum of its proper divisors (40009207589784).

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

21421614601656 is a wasteful number, since it uses less digits than its factorization.

21421614601656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339653 (or 339646 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21421614601656 in words is "twenty-one trillion, four hundred twenty-one billion, six hundred fourteen million, six hundred one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 63347 126694 190041 253388 276277 380082 506776 552554 570123 760164 828831 1076899 1105108 1140246 1520328 1657662 2153798 2210216 2280492 2486493 3230697 3315324 4307596 4560984 4696709 4972986 6461394 6630648 8615192 9393418 9692091 9945972 12922788 14090127 18786836 19384182 19891944 25845576 28180254 37573672 38768364 42270381 56360508 77536728 84540762 112721016 169081524 338163048 17501319119 35002638238 52503957357 70005276476 105007914714 140010552952 157511872071 210015829428 297522425023 315023744142 420031658856 595044850046 630047488284 892567275069 1190089700092 1260094976568 1785134550138 2380179400184 2677701825207 3570269100276 5355403650414 7140538200552 10710807300828 21421614601656