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6438120680 = 235160953017
BaseRepresentation
bin1011111111011110…
…11110110011101000
3121121200110102021002
411333233132303220
5101141124330210
62542503134132
7315354060065
oct57757366350
917550412232
106438120680
1128041733a2
1212b8144348
137b7a96684
14451097c6c
1527a32b4a5
hex17fbdece8

6438120680 has 16 divisors (see below), whose sum is σ = 14485771620. Its totient is φ = 2575248256.

The previous prime is 6438120679. The next prime is 6438120719. The reversal of 6438120680 is 860218346.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6421457956 + 16662724 = 80134^2 + 4082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80476469 + ... + 80476548.

Almost surely, 26438120680 is an apocalyptic number.

It is an amenable number.

6438120680 is an abundant number, since it is smaller than the sum of its proper divisors (8047650940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6438120680 is a wasteful number, since it uses less digits than its factorization.

6438120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160953028 (or 160953024 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 6438120680 is about 80237.9005208885. The cubic root of 6438120680 is about 1860.3144995617.

The spelling of 6438120680 in words is "six billion, four hundred thirty-eight million, one hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 160953017 321906034 643812068 804765085 1287624136 1609530170 3219060340 6438120680