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21413639556 = 2232296
BaseRepresentation
bin10011111100010110…
…100011010110000100
32001021100112121011100
4103330112203112010
5322323342431211
613500504340100
71355435635011
oct237426432604
961240477140
1021413639556
119099494381
124197474630
13203352074a
141071d48708
15854e07156
hex4fc5a3584

21413639556 has 63 divisors (see below), whose sum is σ = 56062098001. Its totient is φ = 6891746064.

The previous prime is 21413639503. The next prime is 21413639557. The reversal of 21413639556 is 65593631412.

The square root of 21413639556 is 146334.

It is a perfect power (a square), and thus also a powerful number.

21413639556 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 639 + 5 + 5 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9145861956 + 12267777600 = 95634^2 + 110760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21413639557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 738401350 + ... + 738401378.

Almost surely, 221413639556 is an apocalyptic number.

21413639556 is the 146334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21413639556

21413639556 is an abundant number, since it is smaller than the sum of its proper divisors (34648458445).

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

21413639556 is an frugal number, since it uses more digits than its factorization.

21413639556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 34 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

It can be divided in two parts, 21413 and 639556, that added together give a square (660969 = 8132).

The spelling of 21413639556 in words is "twenty-one billion, four hundred thirteen million, six hundred thirty-nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 24389 30276 48778 73167 97556 146334 219501 292668 439002 707281 878004 1414562 2121843 2829124 4243686 6365529 8487372 12731058 20511149 25462116 41022298 61533447 82044596 123066894 184600341 246133788 369200682 594823321 738401364 1189646642 1784469963 2379293284 3568939926 5353409889 7137879852 10706819778 21413639556