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20530718562816 = 2933721110127281
BaseRepresentation
bin1001010101100001011100…
…01011111101101000000000
32200200201101002001220011000
410222300232023331220000
510142333402423002231
6111355403142452000
74216203226253400
oct452605613755000
980621332056130
1020530718562816
1165a6035437430
122376ba8134000
13b5c0666351a7
1450d9990d6800
152590b77306e6
hex12ac2e2fda00

20530718562816 has 960 divisors, whose sum is σ = 77887560769920. Its totient is φ = 5279662080000.

The previous prime is 20530718562803. The next prime is 20530718562817. The reversal of 20530718562816 is 61826581703502.

20530718562816 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 7 + 1 + 8 + 5 + 628 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20530718562817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 752551096 + ... + 752578376.

It is an arithmetic number, because the mean of its divisors is an integer number (81132875802).

Almost surely, 220530718562816 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 20530718562816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38943780384960).

20530718562816 is an abundant number, since it is smaller than the sum of its proper divisors (57356842207104).

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

20530718562816 is a wasteful number, since it uses less digits than its factorization.

20530718562816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27434 (or 27405 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20530718562816 in words is "twenty trillion, five hundred thirty billion, seven hundred eighteen million, five hundred sixty-two thousand, eight hundred sixteen".