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20227964736 = 2637531991427
BaseRepresentation
bin10010110101101011…
…100011111101000000
31221012201111002002010
4102311223203331000
5312411324332421
613143111252520
71314160602060
oct226553437500
957181432063
1020227964736
118640182331
123b0637a140
131ba49a3705
14d9c6a73a0
157d5c9b076
hex4b5ae3f40

20227964736 has 224 divisors, whose sum is σ = 62676633600. Its totient is φ = 5637924864.

The previous prime is 20227964689. The next prime is 20227964741. The reversal of 20227964736 is 63746972202.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14174455 + ... + 14175881.

It is an arithmetic number, because the mean of its divisors is an integer number (279806400).

Almost surely, 220227964736 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 20227964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31338316800).

20227964736 is an abundant number, since it is smaller than the sum of its proper divisors (42448668864).

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

20227964736 is a wasteful number, since it uses less digits than its factorization.

20227964736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 20227964736 in words is "twenty billion, two hundred twenty-seven million, nine hundred sixty-four thousand, seven hundred thirty-six".