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20423795392 = 26711132383167
BaseRepresentation
bin10011000001010110…
…100110001011000000
31221201100222022020101
4103001112212023000
5313311442423032
613214344452144
71322056252660
oct230126461300
957640868211
1020423795392
118730777850
123b5ba7a054
131c0642b040
14dba6c21a0
157e807ede7
hex4c15a62c0

20423795392 has 448 divisors, whose sum is σ = 57809977344. Its totient is φ = 6899650560.

The previous prime is 20423795377. The next prime is 20423795467. The reversal of 20423795392 is 29359732402.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 122298093 + ... + 122298259.

It is an arithmetic number, because the mean of its divisors is an integer number (129040128).

Almost surely, 220423795392 is an apocalyptic number.

20423795392 is a gapful number since it is divisible by the number (22) 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 20423795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28904988672).

20423795392 is an abundant number, since it is smaller than the sum of its proper divisors (37386181952).

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

20423795392 is a wasteful number, since it uses less digits than its factorization.

20423795392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 20423795392 in words is "twenty billion, four hundred twenty-three million, seven hundred ninety-five thousand, three hundred ninety-two".