Search a number
-
+
21433057920 = 273351997673
BaseRepresentation
bin10011111101100000…
…101000001010000000
32001022201002011011000
4103331200220022000
5322343330323140
613502440452000
71356062662221
oct237540501200
961281064130
1021433057920
1190a944770a
1241a1a7a000
13203755c1c1
141074761248
15856990a30
hex4fd828280

21433057920 has 512 divisors, whose sum is σ = 80847648000. Its totient is φ = 5350883328.

The previous prime is 21433057913. The next prime is 21433057973. The reversal of 21433057920 is 2975033412.

21433057920 is a `hidden beast` number, since 21 + 43 + 3 + 0 + 579 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31846704 + ... + 31847376.

Almost surely, 221433057920 is an apocalyptic number.

21433057920 is a gapful number since it is divisible by the number (20) 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 21433057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40423824000).

21433057920 is an abundant number, since it is smaller than the sum of its proper divisors (59414590080).

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

21433057920 is a wasteful number, since it uses less digits than its factorization.

21433057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 21433057920 in words is "twenty-one billion, four hundred thirty-three million, fifty-seven thousand, nine hundred twenty".