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20503416196368 = 2432725971693677
BaseRepresentation
bin1001010100101110100101…
…10101101100110100010000
32200121002220022211222022200
410222113102311230310100
510141411444021240433
6111335050034203200
74214215524053400
oct452272265546420
980532808758280
1020503416196368
1165954a4a13416
122371848723500
13b59605108681
1450c529066800
1525851a870613
hex12a5d2d6cd10

20503416196368 has 360 divisors, whose sum is σ = 68836942100160. Its totient is φ = 5677710312960.

The previous prime is 20503416196363. The next prime is 20503416196381. The reversal of 20503416196368 is 86369161430502.

20503416196368 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 3 + 416 + 196 + 36 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (20503416196363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29210746 + ... + 29904422.

It is an arithmetic number, because the mean of its divisors is an integer number (191213728056).

Almost surely, 220503416196368 is an apocalyptic number.

20503416196368 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 20503416196368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34418471050080).

20503416196368 is an abundant number, since it is smaller than the sum of its proper divisors (48333525903792).

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

20503416196368 is a wasteful number, since it uses less digits than its factorization.

20503416196368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693835 (or 693819 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 20503416196368 in words is "twenty trillion, five hundred three billion, four hundred sixteen million, one hundred ninety-six thousand, three hundred sixty-eight".