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42163436124 = 22321171206559
BaseRepresentation
bin100111010001001000…
…101111101001011100
311000211102221110221100
4213101020233221130
51142322314423444
631211500433100
73021564202515
oct472110575134
9130742843840
1042163436124
1116977184687
128208548790
133c8c351394
14207da4ba0c
15116b8cee69
hex9d122fa5c

42163436124 has 18 divisors (see below), whose sum is σ = 106579796960. Its totient is φ = 14054478696.

The previous prime is 42163436101. The next prime is 42163436201.

42163436124 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 34 + 3 + 612 + 4 = 666.

42163436124 is nontrivially palindromic in base 10.

42163436124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1171206559 = 42163436124 / (4 + 2 + 1 + 6 + 3 + 4 + 3 + 6 + 1 + 2 + 4).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585603244 + ... + 585603315.

Almost surely, 242163436124 is an apocalyptic number.

It is an amenable number.

42163436124 is an abundant number, since it is smaller than the sum of its proper divisors (64416360836).

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

42163436124 is a wasteful number, since it uses less digits than its factorization.

42163436124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171206569 (or 1171206564 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 42163436124 in words is "forty-two billion, one hundred sixty-three million, four hundred thirty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1171206559 2342413118 3513619677 4684826236 7027239354 10540859031 14054478708 21081718062 42163436124