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20444223728 = 2429311421317
BaseRepresentation
bin10011000010100100…
…100001100011110000
31221202210102011122102
4103002210201203300
5313332210124403
613220354355532
71322425014545
oct230244414360
957683364572
1020444223728
11874125a975
123b6688bba8
131c0a731406
14dbd2bcbcc
157e9c67b88
hex4c29218f0

20444223728 has 40 divisors (see below), whose sum is σ = 42298423680. Its totient is φ = 9551243520.

The previous prime is 20444223703. The next prime is 20444223781. The reversal of 20444223728 is 82732244402.

It is a junction number, because it is equal to n+sod(n) for n = 20444223691 and 20444223700.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 696275 + ... + 725042.

It is an arithmetic number, because the mean of its divisors is an integer number (1057460592).

Almost surely, 220444223728 is an apocalyptic number.

It is an amenable number.

20444223728 is an abundant number, since it is smaller than the sum of its proper divisors (21854199952).

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

20444223728 is a wasteful number, since it uses less digits than its factorization.

20444223728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421385 (or 1421379 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 38.

The spelling of 20444223728 in words is "twenty billion, four hundred forty-four million, two hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 14384 1421317 2842634 5685268 11370536 22741072 41218193 44060827 82436386 88121654 164872772 176243308 329745544 352486616 659491088 704973232 1277763983 2555527966 5111055932 10222111864 20444223728