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20313014684976 = 24321347274184229
BaseRepresentation
bin1001001111001011111100…
…00001100100110100110000
32122220220102220211000212100
410213211332001210310300
510130302023224404401
6111111400425100400
74164365303653236
oct447457601446460
978826386730770
1020313014684976
116521779259832
12234096b627700
13b44680556470
14503225a6c956
152535c4de7b86
hex12797e064d30

20313014684976 has 240 divisors, whose sum is σ = 62547300466560. Its totient is φ = 6114871941120.

The previous prime is 20313014684939. The next prime is 20313014685011. The reversal of 20313014684976 is 67948641031302.

20313014684976 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 0 + 146 + 8 + 497 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241122030 + ... + 241206258.

It is an arithmetic number, because the mean of its divisors is an integer number (260613751944).

Almost surely, 220313014684976 is an apocalyptic number.

20313014684976 is a gapful number since it is divisible by the number (26) 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 20313014684976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31273650233280).

20313014684976 is an abundant number, since it is smaller than the sum of its proper divisors (42234285781584).

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

20313014684976 is a wasteful number, since it uses less digits than its factorization.

20313014684976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87044 (or 87035 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20313014684976 in words is "twenty trillion, three hundred thirteen billion, fourteen million, six hundred eighty-four thousand, nine hundred seventy-six".