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20295645552 = 24337213131563
BaseRepresentation
bin10010111001101101…
…101111100101110000
31221101102211121201000
4102321231233211300
5313031141124202
613153530042000
71315642066200
oct227155574560
957342747630
1020295645552
1186753a9996
123b24b79300
131bb5a0c730
14da7684400
157dbbb991c
hex4b9b6f970

20295645552 has 480 divisors, whose sum is σ = 73667784960. Its totient is φ = 5302402560.

The previous prime is 20295645527. The next prime is 20295645581. The reversal of 20295645552 is 25554659202.

20295645552 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 56 + 45 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20295645498 and 20295645507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36048823 + ... + 36049385.

It is an arithmetic number, because the mean of its divisors is an integer number (153474552).

Almost surely, 220295645552 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 20295645552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36833892480).

20295645552 is an abundant number, since it is smaller than the sum of its proper divisors (53372139408).

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

20295645552 is a wasteful number, since it uses less digits than its factorization.

20295645552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 20295645552 in words is "twenty billion, two hundred ninety-five million, six hundred forty-five thousand, five hundred fifty-two".