93834921330 has 72 divisors (see below), whose sum is σ = 257487272172. Its totient is φ = 23705656128.

The previous prime is 93834921317. The next prime is 93834921359. The reversal of 93834921330 is 3312943839.

93834921330 is a `hidden beast` number, since 93 + 8 + 349 + 213 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80220932289 + 13613989041 = 283233^2 + 116679^2 .

It is a super-2 number, since 2×93834921330² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1411569 + ... + 1476548.

Almost surely, 2^93834921330 is an apocalyptic number.

93834921330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

93834921330 is an abundant number, since it is smaller than the sum of its proper divisors (163652350842).

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

93834921330 is a wasteful number, since it uses less digits than its factorization.

93834921330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888168 (or 2888146 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 93834921330 in words is "ninety-three billion, eight hundred thirty-four million, nine hundred twenty-one thousand, three hundred thirty".