Search a number
-
+
21906566472384 = 2633112104771993
BaseRepresentation
bin1001111101100100001010…
…00111001110001011000000
32212120020200021122101002000
410332302011013032023000
510332404122004104014
6114331423202224000
74420461065445546
oct476620507161300
985506607571060
1021906566472384
116a86582741700
122559780955000
13c2ba1b591499
1455a3d7bd5d96
1527ec9035a509
hex13ec851ce2c0

21906566472384 has 168 divisors, whose sum is σ = 70788150026160. Its totient is φ = 6638353413120.

The previous prime is 21906566472361. The next prime is 21906566472419. The reversal of 21906566472384 is 48327466560912.

21906566472384 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 6 + 566 + 47 + 23 + 8 + 4 = 666.

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, 52176909 + ... + 52595084.

It is an arithmetic number, because the mean of its divisors is an integer number (421358035870).

It is a 1-persistent number, because it is pandigital, but 2⋅21906566472384 = 43813132944768 is not.

Almost surely, 221906566472384 is an apocalyptic number.

21906566472384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21906566472384 is an abundant number, since it is smaller than the sum of its proper divisors (48881583553776).

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

21906566472384 is a wasteful number, since it uses less digits than its factorization.

21906566472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104772036 (or 104772009 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 21906566472384 in words is "twenty-one trillion, nine hundred six billion, five hundred sixty-six million, four hundred seventy-two thousand, three hundred eighty-four".