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3781417601 = 13192805757
BaseRepresentation
bin1110000101100011…
…1101101010000001
3100202112101220202202
43201120331222001
530221020330401
61423120522545
7162464343053
oct34130755201
910675356682
103781417601
11167056a015
12896480455
1348355c310
1427c2d58d3
15171e9a06b
hexe163da81

3781417601 has 12 divisors (see below), whose sum is σ = 4297913172. Its totient is φ = 3306822624.

The previous prime is 3781417583. The next prime is 3781417621. The reversal of 3781417601 is 1067141873.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 753777025 + 3027640576 = 27455^2 + 55024^2 .

It is not a de Polignac number, because 3781417601 - 210 = 3781416577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3781417621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398186 + ... + 407571.

It is an arithmetic number, because the mean of its divisors is an integer number (358159431).

Almost surely, 23781417601 is an apocalyptic number.

It is an amenable number.

3781417601 is a deficient number, since it is larger than the sum of its proper divisors (516495571).

3781417601 is a wasteful number, since it uses less digits than its factorization.

3781417601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805808 (or 805789 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 3781417601 is about 61493.2321560674. The cubic root of 3781417601 is about 1557.9429386201.

The spelling of 3781417601 in words is "three billion, seven hundred eighty-one million, four hundred seventeen thousand, six hundred one".

Divisors: 1 13 19 247 361 4693 805757 10474841 15309383 199021979 290878277 3781417601