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3781190257 = 132113137653
BaseRepresentation
bin1110000101100000…
…0110001001110001
3100202111222100220121
43201120012021301
530220441042012
61423112010241
7162462405205
oct34130061161
910674870817
103781190257
111670424229
12896390981
134834ac9b0
1427c276b05
15171e52a07
hexe1606271

3781190257 has 8 divisors (see below), whose sum is σ = 4074007784. Its totient is φ = 3488652288.

The previous prime is 3781190239. The next prime is 3781190267. The reversal of 3781190257 is 7520911873.

It can be written as a sum of positive squares in 4 ways, for example, as 167857936 + 3613332321 = 12956^2 + 60111^2 .

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 3781190257 - 211 = 3781188209 is a prime.

It is a super-3 number, since 3×37811902573 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3781190267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41358 + ... + 96295.

It is an arithmetic number, because the mean of its divisors is an integer number (509250973).

Almost surely, 23781190257 is an apocalyptic number.

It is an amenable number.

3781190257 is a deficient number, since it is larger than the sum of its proper divisors (292817527).

3781190257 is a wasteful number, since it uses less digits than its factorization.

3781190257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139779.

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 3781190257 is about 61491.3835996557. The cubic root of 3781190257 is about 1557.9117161073.

The spelling of 3781190257 in words is "three billion, seven hundred eighty-one million, one hundred ninety thousand, two hundred fifty-seven".

Divisors: 1 13 2113 27469 137653 1789489 290860789 3781190257