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20014943808600 = 23325213172313116699
BaseRepresentation
bin1001000110100000101111…
…00111011010110001011000
32121212102001211212122020100
410203100113213122301120
510110411101103333400
6110322423243455400
74134013652215656
oct443202747326130
977772054778210
1020014943808600
116417320a9a684
1222b3044227560
13b2252a2b7530
144d2a2ac15dd6
1524a97bc9b100
hex1234179dac58

20014943808600 has 1152 divisors, whose sum is σ = 80593216704000. Its totient is φ = 4401218764800.

The previous prime is 20014943808589. The next prime is 20014943808653. The reversal of 20014943808600 is 680834941002.

It is a happy number.

20014943808600 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 4 + 9 + 4 + 38 + 0 + 8 + 600 = 666.

It is a super-2 number, since 2×200149438086002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1198563051 + ... + 1198579749.

It is an arithmetic number, because the mean of its divisors is an integer number (69959389500).

Almost surely, 220014943808600 is an apocalyptic number.

20014943808600 is a gapful number since it is divisible by the number (20) 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 20014943808600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40296608352000).

20014943808600 is an abundant number, since it is smaller than the sum of its proper divisors (60578272895400).

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

20014943808600 is a wasteful number, since it uses less digits than its factorization.

20014943808600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16905 (or 16893 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20014943808600 in words is "twenty trillion, fourteen billion, nine hundred forty-three million, eight hundred eight thousand, six hundred".