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20406972330 = 235531614441
BaseRepresentation
bin10011000000010110…
…011010111110101010
31221200012022121100000
4103000112122332222
5313243141103310
613212544123430
71321463255103
oct230026327652
957605277300
1020406972330
118722227398
123b56306576
131c02aba974
14db83833aa
157e685a4c0
hex4c059afaa

20406972330 has 192 divisors, whose sum is σ = 57742304256. Its totient is φ = 5178816000.

The previous prime is 20406972301. The next prime is 20406972337. The reversal of 20406972330 is 3327960402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20406972337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4592910 + ... + 4597350.

It is an arithmetic number, because the mean of its divisors is an integer number (300741168).

Almost surely, 220406972330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20406972330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28871152128).

20406972330 is an abundant number, since it is smaller than the sum of its proper divisors (37335331926).

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

20406972330 is a wasteful number, since it uses less digits than its factorization.

20406972330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 20406972330 in words is "twenty billion, four hundred six million, nine hundred seventy-two thousand, three hundred thirty".