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42476027220 = 2232511194724023
BaseRepresentation
bin100111100011110001…
…001011110101010100
311001122020010202022100
4213203301023311110
51143442330332340
631302504402100
73032411163024
oct474361136524
9131566122270
1042476027220
1117017678a30
128295176330
13400c03a223
1420ad37ba84
151189079830
hex9e3c4bd54

42476027220 has 288 divisors, whose sum is σ = 151109038080. Its totient is φ = 9547303680.

The previous prime is 42476027203. The next prime is 42476027221. The reversal of 42476027220 is 2272067424.

42476027220 is a `hidden beast` number, since 4 + 2 + 47 + 602 + 7 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42476027221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756129 + ... + 1780151.

It is an arithmetic number, because the mean of its divisors is an integer number (524684160).

Almost surely, 242476027220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42476027220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75554519040).

42476027220 is an abundant number, since it is smaller than the sum of its proper divisors (108633010860).

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

42476027220 is a wasteful number, since it uses less digits than its factorization.

42476027220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24115 (or 24110 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 42476027220 in words is "forty-two billion, four hundred seventy-six million, twenty-seven thousand, two hundred twenty".