42152010093 has 128 divisors (see below), whose sum is σ = 70690406400. Its totient is φ = 24698520000.

The previous prime is 42152010073. The next prime is 42152010127. The reversal of 42152010093 is 39001025124.

42152010093 is a `hidden beast` number, since 42 + 1 + 520 + 10 + 0 + 93 = 666.

It is not a de Polignac number, because 42152010093 - 2¹² = 42152005997 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42152010053) 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 127 ways as a sum of consecutive naturals, for example, 56127468 + ... + 56128218.

It is an arithmetic number, because the mean of its divisors is an integer number (552268800).

Almost surely, 2^42152010093 is an apocalyptic number.

It is an amenable number.

42152010093 is a deficient number, since it is larger than the sum of its proper divisors (28538396307).

42152010093 is a wasteful number, since it uses less digits than its factorization.

42152010093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 42152010093 in words is "forty-two billion, one hundred fifty-two million, ten thousand, ninety-three".