7741248093 has 24 divisors (see below), whose sum is σ = 11258956800. Its totient is φ = 5125280544.

The previous prime is 7741248083. The next prime is 7741248101. The reversal of 7741248093 is 3908421477.

7741248093 is a `hidden beast` number, since 7 + 74 + 12 + 480 + 93 = 666.

It is not a de Polignac number, because 7741248093 - 2⁶ = 7741248029 is a prime.

It is a super-3 number, since 3×7741248093³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7741248083) 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 23 ways as a sum of consecutive naturals, for example, 2687428 + ... + 2690306.

It is an arithmetic number, because the mean of its divisors is an integer number (469123200).

Almost surely, 2^7741248093 is an apocalyptic number.

It is an amenable number.

7741248093 is a deficient number, since it is larger than the sum of its proper divisors (3517708707).

7741248093 is a wasteful number, since it uses less digits than its factorization.

7741248093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7741248093 is about 87984.3627754387. The cubic root of 7741248093 is about 1978.2005973879.

The spelling of 7741248093 in words is "seven billion, seven hundred forty-one million, two hundred forty-eight thousand, ninety-three".