Search a number
-
+
21063684096 = 212337213223
BaseRepresentation
bin10011100111011111…
…100101000000000000
32000100222001000112000
4103213133211000000
5321114300342341
613402043504000
71343656234500
oct234737450000
960328030460
1021063684096
118a2999a694
1240ba228000
131ca8b81900
14103b68da00
1583432b8b6
hex4e77e5000

21063684096 has 936 divisors, whose sum is σ = 82022708160. Its totient is φ = 5313724416.

The previous prime is 21063684067. The next prime is 21063684217. The reversal of 21063684096 is 69048636012.

21063684096 is a `hidden beast` number, since 2 + 1 + 0 + 636 + 8 + 4 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915812341 + ... + 915812363.

Almost surely, 221063684096 is an apocalyptic number.

21063684096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21063684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41011354080).

21063684096 is an abundant number, since it is smaller than the sum of its proper divisors (60959024064).

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

21063684096 is a wasteful number, since it uses less digits than its factorization.

21063684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21063684096 in words is "twenty-one billion, sixty-three million, six hundred eighty-four thousand, ninety-six".