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60007130505 = 3357101628709
BaseRepresentation
bin110111111000101101…
…000010010110001001
312201220000000001222000
4313320231002112021
51440343311134010
643322241021213
74223014123230
oct677055022611
9181800001860
1060007130505
11234a3508343
12b768324809
13587408591a
142c937cbb17
1518631b07c0
hexdf8b42589

60007130505 has 64 divisors (see below), whose sum is σ = 123126566400. Its totient is φ = 27160185600.

The previous prime is 60007130453. The next prime is 60007130507. The reversal of 60007130505 is 50503170006.

60007130505 is a `hidden beast` number, since 60 + 0 + 0 + 71 + 30 + 505 = 666.

60007130505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 60007130505 - 26 = 60007130441 is a prime.

It is a super-2 number, since 2×600071305052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60007130507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218910 + ... + 409799.

It is an arithmetic number, because the mean of its divisors is an integer number (1923852600).

Almost surely, 260007130505 is an apocalyptic number.

It is an amenable number.

60007130505 is an abundant number, since it is smaller than the sum of its proper divisors (63119435895).

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

60007130505 is a wasteful number, since it uses less digits than its factorization.

60007130505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628831 (or 628825 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 60007130505 in words is "sixty billion, seven million, one hundred thirty thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 101 105 135 189 303 315 505 707 909 945 1515 2121 2727 3535 4545 6363 10605 13635 19089 31815 95445 628709 1886127 3143545 4400963 5658381 9430635 13202889 16975143 22004815 28291905 39608667 63499609 66014445 84875715 118826001 190498827 198043335 317498045 444497263 571496481 594130005 952494135 1333491789 1714489443 2222486315 2857482405 4000475367 6667458945 8572447215 12001426101 20002376835 60007130505