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21282999696 = 243373725397
BaseRepresentation
bin10011110100100100…
…001100110110010000
32000221020201101222000
4103310210030312100
5322041421442241
613435520314000
71352261340540
oct236444146620
960836641860
1021282999696
119031775752
12415b772900
13201243c95a
14105c85d320
158486edeb6
hex4f490cd90

21282999696 has 480 divisors, whose sum is σ = 73862772480. Its totient is φ = 5745033216.

The previous prime is 21282999679. The next prime is 21282999697. The reversal of 21282999696 is 69699928212.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21282999697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219412320 + ... + 219412416.

It is an arithmetic number, because the mean of its divisors is an integer number (153880776).

Almost surely, 221282999696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21282999696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36931386240).

21282999696 is an abundant number, since it is smaller than the sum of its proper divisors (52579772784).

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

21282999696 is a wasteful number, since it uses less digits than its factorization.

21282999696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 199 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The spelling of 21282999696 in words is "twenty-one billion, two hundred eighty-two million, nine hundred ninety-nine thousand, six hundred ninety-six".