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30760248997 = 376113628821
BaseRepresentation
bin11100101001011101…
…000010011010100101
32221101201211112221101
4130221131002122211
51000444110431442
622044150520101
72136160542142
oct345135023245
987351745841
1030760248997
11120553a4395
125b65666031
132b92a3a88a
1416bb3c73c9
15c0074ccb7
hex7297426a5

30760248997 has 8 divisors (see below), whose sum is σ = 32109504632. Its totient is φ = 29438251200.

The previous prime is 30760248979. The next prime is 30760249031. The reversal of 30760248997 is 79984206703.

It is a Cunningham number, because it is equal to 1753862+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1000203876 + 29760045121 = 31626^2 + 172511^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 30760248997 - 211 = 30760246949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30760248917) 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 7 ways as a sum of consecutive naturals, for example, 6812154 + ... + 6816667.

It is an arithmetic number, because the mean of its divisors is an integer number (4013688079).

Almost surely, 230760248997 is an apocalyptic number.

30760248997 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

30760248997 is a deficient number, since it is larger than the sum of its proper divisors (1349255635).

30760248997 is a wasteful number, since it uses less digits than its factorization.

30760248997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13628919.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 30760248997 in words is "thirty billion, seven hundred sixty million, two hundred forty-eight thousand, nine hundred ninety-seven".

Divisors: 1 37 61 2257 13628821 504266377 831358081 30760248997