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10048085317 = 113313284093
BaseRepresentation
bin10010101101110100…
…11001110101000101
3221221021020121210001
421112322121311011
5131034302212232
64341021201301
7504000213244
oct112672316505
927837217701
1010048085317
114296978246
121b45100231
13c4195521a
146b46bc95b
153dc20a6e7
hex256e99d45

10048085317 has 8 divisors (see below), whose sum is σ = 10169428824. Its totient is φ = 9927310848.

The previous prime is 10048085269. The next prime is 10048085339. The reversal of 10048085317 is 71358084001.

It can be written as a sum of positive squares in 4 ways, for example, as 105801796 + 9942283521 = 10286^2 + 99711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10048085317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048085347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106678 + ... + 177415.

It is an arithmetic number, because the mean of its divisors is an integer number (1271178603).

Almost surely, 210048085317 is an apocalyptic number.

It is an amenable number.

10048085317 is a deficient number, since it is larger than the sum of its proper divisors (121343507).

10048085317 is a wasteful number, since it uses less digits than its factorization.

10048085317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284519.

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 10048085317 in words is "ten billion, forty-eight million, eighty-five thousand, three hundred seventeen".

Divisors: 1 113 313 35369 284093 32102509 88921109 10048085317