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1378058617 = 13211372161
BaseRepresentation
bin101001000100011…
…1000000101111001
310120001001122001001
41102020320011321
510310240333432
6344424325001
746102206415
oct12210700571
93501048031
101378058617
11647972921
12325613761
1318c668800
14d103dd45
1580ead9e7
hex52238179

1378058617 has 12 divisors (see below), whose sum is σ = 1505443644. Its totient is φ = 1260779520.

The previous prime is 1378058611. The next prime is 1378058623. The reversal of 1378058617 is 7168508731.

It is an interprime number because it is at equal distance from previous prime (1378058611) and next prime (1378058623).

It can be written as a sum of positive squares in 6 ways, for example, as 303595776 + 1074462841 = 17424^2 + 32779^2 .

It is not a de Polignac number, because 1378058617 - 27 = 1378058489 is a prime.

It is a super-3 number, since 3×13780586173 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1378058611) 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 11 ways as a sum of consecutive naturals, for example, 16984 + ... + 55177.

It is an arithmetic number, because the mean of its divisors is an integer number (125453637).

Almost surely, 21378058617 is an apocalyptic number.

It is an amenable number.

1378058617 is a deficient number, since it is larger than the sum of its proper divisors (127385027).

1378058617 is a wasteful number, since it uses less digits than its factorization.

1378058617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72300 (or 72287 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The square root of 1378058617 is about 37122.2119087750. The cubic root of 1378058617 is about 1112.8139562840.

The spelling of 1378058617 in words is "one billion, three hundred seventy-eight million, fifty-eight thousand, six hundred seventeen".

Divisors: 1 13 113 169 1469 19097 72161 938093 8154193 12195209 106004509 1378058617