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20027314486368 = 2534710711938647
BaseRepresentation
bin1001000110110111110001…
…11101110011110001100000
32121220120222222111011220000
410203123320331303301200
510111111420002030433
6110332230554220000
74134632344230630
oct443337075636140
977816888434800
1020027314486368
116421599a09a12
1222b5517124600
13b2374c194cc7
144d3481b646c0
1524ae52d3c113
hex1236f8f73c60

20027314486368 has 480 divisors, whose sum is σ = 68007947825664. Its totient is φ = 5663205808128.

The previous prime is 20027314486351. The next prime is 20027314486381. The reversal of 20027314486368 is 86368441372002.

20027314486368 is a `hidden beast` number, since 2 + 0 + 0 + 273 + 1 + 4 + 4 + 8 + 6 + 368 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2316095421 + ... + 2316104067.

Almost surely, 220027314486368 is an apocalyptic number.

20027314486368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20027314486368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34003973912832).

20027314486368 is an abundant number, since it is smaller than the sum of its proper divisors (47980633339296).

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

20027314486368 is a wasteful number, since it uses less digits than its factorization.

20027314486368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 20027314486368 in words is "twenty trillion, twenty-seven billion, three hundred fourteen million, four hundred eighty-six thousand, three hundred sixty-eight".