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20321942256 = 2436711417
BaseRepresentation
bin10010111011010010…
…000011101011110000
31221110021022122000000
4102323102003223300
5313104404123011
613200305430000
71316411442030
oct227322035360
957407278000
1020321942256
118689230000
123b3193b300
131bbb2b8c05
14daad6b8c0
157de161356
hex4bb483af0

20321942256 has 700 divisors, whose sum is σ = 78578742960. Its totient is φ = 4967930880.

The previous prime is 20321942243. The next prime is 20321942321. The reversal of 20321942256 is 65224912302.

20321942256 is a `hidden beast` number, since 20 + 321 + 94 + 225 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20321942256.

It is a congruent number.

It is an unprimeable number.

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 139 ways as a sum of consecutive naturals, for example, 1195408360 + ... + 1195408376.

Almost surely, 220321942256 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 20321942256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39289371480).

20321942256 is an abundant number, since it is smaller than the sum of its proper divisors (58256800704).

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

20321942256 is an frugal number, since it uses more digits than its factorization.

20321942256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20321942256 in words is "twenty billion, three hundred twenty-one million, nine hundred forty-two thousand, two hundred fifty-six".