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20217032175144 = 2337120339477233
BaseRepresentation
bin1001001100011001001010…
…00001010110111000101000
32122120201200201210100001210
410212030211001112320220
510122213440214101034
6110555324254513120
74154426622045120
oct446144501267050
978521621710053
1020217032175144
116494aa4673542
1223262432057a0
13b385c518034c
144dc71c3d5c80
15250d5873a8e9
hex126325056e28

20217032175144 has 32 divisors (see below), whose sum is σ = 57762949072320. Its totient is φ = 5776294907136.

The previous prime is 20217032175113. The next prime is 20217032175187. The reversal of 20217032175144 is 44157123071202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60169738449 + ... + 60169738784.

It is an arithmetic number, because the mean of its divisors is an integer number (1805092158510).

Almost surely, 220217032175144 is an apocalyptic number.

20217032175144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20217032175144 is an abundant number, since it is smaller than the sum of its proper divisors (37545916897176).

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

20217032175144 is a wasteful number, since it uses less digits than its factorization.

20217032175144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120339477249 (or 120339477245 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 20217032175144 in words is "twenty trillion, two hundred seventeen billion, thirty-two million, one hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 120339477233 240678954466 361018431699 481357908932 722036863398 842376340631 962715817864 1444073726796 1684752681262 2527129021893 2888147453592 3369505362524 5054258043786 6739010725048 10108516087572 20217032175144