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730258352361 = 33106801253243
BaseRepresentation
bin10101010000001101100…
…10100010100011101001
32120210220221220221221000
422220012302202203221
543431032114233421
61315250454505213
7103521324402156
oct12500662424351
92523827827830
10730258352361
1126177889067a
12b9642065209
1353b2b20a355
14274b7ba122d
1513ee0715226
hexaa06ca28e9

730258352361 has 16 divisors (see below), whose sum is σ = 1081878627520. Its totient is φ = 486832420800.

The previous prime is 730258352303. The next prime is 730258352371. The reversal of 730258352361 is 163253852037.

730258352361 is a `hidden beast` number, since 7 + 3 + 0 + 2 + 583 + 5 + 2 + 3 + 61 = 666.

It is not a de Polignac number, because 730258352361 - 222 = 730254158057 is a prime.

It is a super-2 number, since 2×7302583523612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (730258352371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2757006 + ... + 3010248.

It is an arithmetic number, because the mean of its divisors is an integer number (67617414220).

Almost surely, 2730258352361 is an apocalyptic number.

It is an amenable number.

730258352361 is a deficient number, since it is larger than the sum of its proper divisors (351620275159).

730258352361 is a wasteful number, since it uses less digits than its factorization.

730258352361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360053 (or 360047 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

It can be divided in two parts, 7302583 and 52361, that added together give a square (7354944 = 27122).

The spelling of 730258352361 in words is "seven hundred thirty billion, two hundred fifty-eight million, three hundred fifty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 27 106801 253243 320403 759729 961209 2279187 2883627 6837561 27046605643 81139816929 243419450787 730258352361