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3740510993 = 97162123789
BaseRepresentation
bin1101111011110011…
…1010101100010001
3100122200102122110012
43132330322230101
530130032322433
61415100044305
7161456550602
oct33674725421
910580378405
103740510993
11164a46a2aa
12884833695
13477c38c1b
14276ac7da9
1516d5b9848
hexdef3ab11

3740510993 has 8 divisors (see below), whose sum is σ = 3781563240. Its totient is φ = 3699509760.

The previous prime is 3740510947. The next prime is 3740511011. The reversal of 3740510993 is 3990150473.

3740510993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 400480144 + 3340030849 = 20012^2 + 57793^2 .

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 3740510993 - 26 = 3740510929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3740510993.

It is not an unprimeable number, because it can be changed into a prime (3740510093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145343 + ... + 169131.

It is an arithmetic number, because the mean of its divisors is an integer number (472695405).

Almost surely, 23740510993 is an apocalyptic number.

It is an amenable number.

3740510993 is a deficient number, since it is larger than the sum of its proper divisors (41052247).

3740510993 is a wasteful number, since it uses less digits than its factorization.

3740510993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25507.

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 3740510993 is about 61159.7170775013. The cubic root of 3740510993 is about 1552.3047216314.

The spelling of 3740510993 in words is "three billion, seven hundred forty million, five hundred ten thousand, nine hundred ninety-three".

Divisors: 1 97 1621 23789 157237 2307533 38561969 3740510993