Search a number
-
+
107407399182335 = 5721732534089871
BaseRepresentation
bin11000011010111110111011…
…110111111101111111111111
3112002022001021022201021122222
4120122332323313331333333
5103034230323142313320
61020234140014355555
731423633323260600
oct3032767367757777
9462261238637588
10107407399182335
113125024980803a
12100683347bbbbb
1347c1621ccbbb5
141c7478db97da7
15c63da6282825
hex61afbbdfdfff

107407399182335 has 24 divisors (see below), whose sum is σ = 150798620102976. Its totient is φ = 73225060883520.

The previous prime is 107407399182329. The next prime is 107407399182341. The reversal of 107407399182335 is 533281993704701.

It is an interprime number because it is at equal distance from previous prime (107407399182329) and next prime (107407399182341).

It is not a de Polignac number, because 107407399182335 - 222 = 107407394988031 is a prime.

It is a super-2 number, since 2×1074073991823352 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267002551 + ... + 1267087320.

It is an arithmetic number, because the mean of its divisors is an integer number (6283275837624).

Almost surely, 2107407399182335 is an apocalyptic number.

107407399182335 is a deficient number, since it is larger than the sum of its proper divisors (43391220920641).

107407399182335 is a wasteful number, since it uses less digits than its factorization.

107407399182335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534090063 (or 2534090056 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 107407399182335 in words is "one hundred seven trillion, four hundred seven billion, three hundred ninety-nine million, one hundred eighty-two thousand, three hundred thirty-five".

Divisors: 1 5 7 35 49 173 245 865 1211 6055 8477 42385 2534089871 12670449355 17738629097 88693145485 124170403679 438397547683 620852018395 2191987738415 3068782833781 15343914168905 21481479836467 107407399182335