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42051362112 = 2633173161757
BaseRepresentation
bin100111001010011101…
…001101110101000000
311000112122001112022000
4213022131031311000
51142110122041422
631152414344000
73016033452234
oct471235156500
9130478045260
1042051362112
1116919996831
128196abb000
133c72070cb6
14206cbd65c4
151161b42cac
hex9ca74dd40

42051362112 has 448 divisors, whose sum is σ = 137514055680. Its totient is φ = 12541132800.

The previous prime is 42051362099. The next prime is 42051362123. The reversal of 42051362112 is 21126315024.

42051362112 is a `hidden beast` number, since 4 + 20 + 5 + 1 + 3 + 621 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 55549638 + ... + 55550394.

Almost surely, 242051362112 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 42051362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68757027840).

42051362112 is an abundant number, since it is smaller than the sum of its proper divisors (95462693568).

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

42051362112 is a wasteful number, since it uses less digits than its factorization.

42051362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 42051362112 its reverse (21126315024), we get a palindrome (63177677136).

The spelling of 42051362112 in words is "forty-two billion, fifty-one million, three hundred sixty-two thousand, one hundred twelve".