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465272606061 = 3379218130617
BaseRepresentation
bin1101100010101000110…
…10001000110101101101
31122110221122111022112000
412301110122020311231
530110334241343221
6553424314402513
745420613620024
oct6612432106555
91573848438460
10465272606061
1116a35929042a
127620aa30439
1334b4b553173
141873add98bb
15c181e9ee26
hex6c54688d6d

465272606061 has 16 divisors (see below), whose sum is σ = 698017977600. Its totient is φ = 306255384864.

The previous prime is 465272606053. The next prime is 465272606069. The reversal of 465272606061 is 160606272564.

465272606061 is a `hidden beast` number, since 4 + 6 + 527 + 2 + 6 + 0 + 60 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (465272606053) and next prime (465272606069).

It is not a de Polignac number, because 465272606061 - 23 = 465272606053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 465272605998 and 465272606016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465272606069) 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 15 ways as a sum of consecutive naturals, for example, 109063176 + ... + 109067441.

It is an arithmetic number, because the mean of its divisors is an integer number (43626123600).

Almost surely, 2465272606061 is an apocalyptic number.

It is an amenable number.

465272606061 is a deficient number, since it is larger than the sum of its proper divisors (232745371539).

465272606061 is a wasteful number, since it uses less digits than its factorization.

465272606061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218130705 (or 218130699 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 465272606061 in words is "four hundred sixty-five billion, two hundred seventy-two million, six hundred six thousand, sixty-one".

Divisors: 1 3 9 27 79 237 711 2133 218130617 654391851 1963175553 5889526659 17232318743 51696956229 155090868687 465272606061