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42494731776 = 29327253267
BaseRepresentation
bin100111100100111000…
…100010011000000000
311001200112100001010200
4213210320202120000
51144012122404101
631304413325200
73033026155200
oct474470423000
9131615301120
1042494731776
1117027193a42
12829b496800
134012b88b03
1420b1a4a400
15118aa21986
hex9e4e22600

42494731776 has 540 divisors, whose sum is σ = 147578843412. Its totient is φ = 11734474752.

The previous prime is 42494731771. The next prime is 42494731777. The reversal of 42494731776 is 67713749424.

It is a happy number.

42494731776 is a `hidden beast` number, since 4 + 2 + 494 + 73 + 17 + 76 = 666.

It is a super-2 number, since 2×424947317762 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42494731771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 634249695 + ... + 634249761.

Almost surely, 242494731776 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 42494731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73789421706).

42494731776 is an abundant number, since it is smaller than the sum of its proper divisors (105084111636).

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

42494731776 is an equidigital number, since it uses as much as digits as its factorization.

42494731776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 132 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 42494731776 in words is "forty-two billion, four hundred ninety-four million, seven hundred thirty-one thousand, seven hundred seventy-six".