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39379217301 = 3214954192
BaseRepresentation
bin100100101011001011…
…110010101110010101
310202122101221111201200
4210223023302232111
51121122034423201
630031321143113
72562565552464
oct445313625625
9122571844650
1039379217301
11157785a5896
12777002aa99
13393758b218
141c97d749db
151057261386
hex92b2f2b95

39379217301 has 18 divisors (see below), whose sum is σ = 57273412950. Its totient is φ = 26071806096.

The previous prime is 39379217291. The next prime is 39379217303. The reversal of 39379217301 is 10371297393.

It is a happy number.

39379217301 is a `hidden beast` number, since 39 + 379 + 217 + 30 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26429004900 + 12950212401 = 162570^2 + 113799^2 .

It is not a de Polignac number, because 39379217301 - 210 = 39379216277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39379217303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7264170 + ... + 7269588.

It is an arithmetic number, because the mean of its divisors is an integer number (3181856275).

Almost surely, 239379217301 is an apocalyptic number.

It is an amenable number.

39379217301 is a deficient number, since it is larger than the sum of its proper divisors (17894195649).

39379217301 is an frugal number, since it uses more digits than its factorization.

39379217301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10993 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The spelling of 39379217301 in words is "thirty-nine billion, three hundred seventy-nine million, two hundred seventeen thousand, three hundred one".

Divisors: 1 3 9 149 447 1341 5419 16257 48771 807431 2422293 7266879 29365561 88096683 264290049 4375468589 13126405767 39379217301