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730468700217 = 321731657283133
BaseRepresentation
bin10101010000100110101…
…00111101000000111001
32120211110121201201221100
422220103110331000321
543431444441401332
61315323411202013
7103526460335214
oct12502324750071
92524417651840
10730468700217
112618765a1083
12b96a05a6309
1353b62978639
14274d7ab877b
1514003e1567c
hexaa1353d039

730468700217 has 24 divisors (see below), whose sum is σ = 1061864621064. Its totient is φ = 483870322944.

The previous prime is 730468700209. The next prime is 730468700219. The reversal of 730468700217 is 712007864037.

730468700217 is a `hidden beast` number, since 7 + 304 + 68 + 70 + 0 + 217 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 337426221456 + 393042478761 = 580884^2 + 626931^2 .

It is not a de Polignac number, because 730468700217 - 23 = 730468700209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (730468700219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438383 + ... + 2721515.

It is an arithmetic number, because the mean of its divisors is an integer number (44244359211).

Almost surely, 2730468700217 is an apocalyptic number.

It is an amenable number.

730468700217 is a deficient number, since it is larger than the sum of its proper divisors (331395920847).

730468700217 is a wasteful number, since it uses less digits than its factorization.

730468700217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284969 (or 284966 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

It can be divided in two parts, 7304 and 68700217, that added together give a square (68707521 = 82892).

The spelling of 730468700217 in words is "seven hundred thirty billion, four hundred sixty-eight million, seven hundred thousand, two hundred seventeen".

Divisors: 1 3 9 173 519 1557 1657 4971 14913 283133 286661 849399 859983 2548197 2579949 48982009 146946027 440838081 469151381 1407454143 4222362429 81163188913 243489566739 730468700217