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42774934020 = 223571323340619
BaseRepresentation
bin100111110101100101…
…011011001000000100
311002102001120210100120
4213311211123020010
51200100340342040
631352303141540
73043000640310
oct476545331004
9132361523316
1042774934020
1117160376045
1283592a48b0
134058c44560
1420dad48b40
1511a541e7d0
hex9f595b204

42774934020 has 192 divisors, whose sum is σ = 153818542080. Its totient is φ = 8632622592.

The previous prime is 42774934009. The next prime is 42774934021. The reversal of 42774934020 is 2043947724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42774934021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44730 + ... + 295889.

It is an arithmetic number, because the mean of its divisors is an integer number (801138240).

Almost surely, 242774934020 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 42774934020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76909271040).

42774934020 is an abundant number, since it is smaller than the sum of its proper divisors (111043608060).

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

42774934020 is a wasteful number, since it uses less digits than its factorization.

42774934020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340674 (or 340672 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 42774934020 in words is "forty-two billion, seven hundred seventy-four million, nine hundred thirty-four thousand, twenty".