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21924902016 = 273329283773
BaseRepresentation
bin10100011010110100…
…110111010010000000
32002120222120102102000
4110122310313102000
5324400233331031
614023330424000
71404214410063
oct243264672200
962528512360
1021924902016
119331043436
1242ba732000
1320b5419c04
1410bdbd28da
15884c473e6
hex51ad37480

21924902016 has 256 divisors, whose sum is σ = 67263696000. Its totient is φ = 7022260224.

The previous prime is 21924901967. The next prime is 21924902017. The reversal of 21924902016 is 61020942912.

It is a super-2 number, since 2×219249020162 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21924902017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28363006 + ... + 28363778.

Almost surely, 221924902016 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 21924902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33631848000).

21924902016 is an abundant number, since it is smaller than the sum of its proper divisors (45338793984).

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

21924902016 is a wasteful number, since it uses less digits than its factorization.

21924902016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21924902016 in words is "twenty-one billion, nine hundred twenty-four million, nine hundred two thousand, sixteen".