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20407865523696 = 243372979198467
BaseRepresentation
bin1001010001111100100111…
…00100110011110111110000
32200020222021020101212202000
410220332103210303313300
510133330302033224241
6111223124411454000
74204263634536600
oct450762344636760
980228236355660
1020407865523696
116558a22068842
122357220a57300
13b505b83400c1
14507a62cc0c00
15255cc7064eb6
hex128f93933df0

20407865523696 has 240 divisors, whose sum is σ = 68149561006080. Its totient is φ = 5830163982720.

The previous prime is 20407865523679. The next prime is 20407865523697. The reversal of 20407865523696 is 69632556870402.

20407865523696 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 78 + 6 + 552 + 3 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20407865523697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207206655 + ... + 207305121.

It is an arithmetic number, because the mean of its divisors is an integer number (283956504192).

Almost surely, 220407865523696 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 20407865523696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074780503040).

20407865523696 is an abundant number, since it is smaller than the sum of its proper divisors (47741695482384).

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

20407865523696 is a wasteful number, since it uses less digits than its factorization.

20407865523696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108289 (or 108270 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 20407865523696 in words is "twenty trillion, four hundred seven billion, eight hundred sixty-five million, five hundred twenty-three thousand, six hundred ninety-six".