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21981432126096 = 24323907032
BaseRepresentation
bin1001111111101111100110…
…11101000001101010010000
32212211101220210120122001100
410333313303131001222100
510340120433111013341
6114430044105104400
74426051244140542
oct477676335015220
985741823518040
1021981432126096
117005300420393
122570195188100
13c35abca89871
1455dc9aadb692
15281bc2bd63b6
hex13fdf3741a90

21981432126096 has 45 divisors (see below), whose sum is σ = 61517637639939. Its totient is φ = 7327125288288.

The previous prime is 21981432126019. The next prime is 21981432126119. The reversal of 21981432126096 is 69062123418912.

It is a happy number.

The square root of 21981432126096 is 4688436.

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

21981432126096 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 1 + 4 + 3 + 21 + 2 + 609 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56065881 + ... + 56456583.

Almost surely, 221981432126096 is an apocalyptic number.

21981432126096 is the 4688436-th square number.

It is an amenable number.

21981432126096 is an abundant number, since it is smaller than the sum of its proper divisors (39536205513843).

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

21981432126096 is an frugal number, since it uses more digits than its factorization.

21981432126096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781420 (or 390708 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 21981432126096 in words is "twenty-one trillion, nine hundred eighty-one billion, four hundred thirty-two million, one hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 390703 781406 1172109 1562812 2344218 3125624 3516327 4688436 6251248 7032654 9376872 14065308 18753744 28130616 56261232 152648834209 305297668418 457946502627 610595336836 915893005254 1221190673672 1373839507881 1831786010508 2442381347344 2747679015762 3663572021016 5495358031524 7327144042032 10990716063048 21981432126096