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730068461824 = 28131139112131
BaseRepresentation
bin10101001111110110111…
…10001010100100000000
32120210102201121112002011
422213323132022210000
543430140011234244
61315215552502304
7103513530351352
oct12477336124400
92523381545064
10730068461824
11261690683049
12b95aa54a994
1353acaa826a0
142749a8910d2
1513ecdc06434
hexa9fb78a900

730068461824 has 144 divisors (see below), whose sum is σ = 1585754037504. Its totient is φ = 333449625600.

The previous prime is 730068461821. The next prime is 730068461839. The reversal of 730068461824 is 428164860037.

It is a super-2 number, since 2×7300684618242 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (730068461821) 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, 342593239 + ... + 342595369.

It is an arithmetic number, because the mean of its divisors is an integer number (11012180816).

Almost surely, 2730068461824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730068461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792877018752).

730068461824 is an abundant number, since it is smaller than the sum of its proper divisors (855685575680).

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

730068461824 is a wasteful number, since it uses less digits than its factorization.

730068461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 730068461824 in words is "seven hundred thirty billion, sixty-eight million, four hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 208 226 256 416 452 832 904 911 1469 1664 1808 1822 2131 2938 3328 3616 3644 4262 5876 7232 7288 8524 11752 11843 14464 14576 17048 23504 23686 27703 28928 29152 34096 47008 47372 55406 58304 68192 94016 94744 102943 110812 116608 136384 188032 189488 205886 221624 233216 240803 272768 376064 378976 411772 443248 481606 545536 757952 823544 886496 963212 1338259 1515904 1647088 1772992 1926424 1941341 2676518 3031808 3130439 3294176 3545984 3852848 3882682 5353036 6260878 6588352 7091968 7705696 7765364 10706072 12521756 13176704 15411392 15530728 21412144 25043512 25237433 26353408 30822784 31061456 42824288 50087024 50474866 61645568 62122912 85648576 100174048 100949732 124245824 171297152 200348096 201899464 219371533 248491648 342594304 400696192 403798928 438743066 496983296 801392384 807597856 877486132 1615195712 1754972264 2851829929 3230391424 3509944528 5703659858 6460782848 7019889056 11407319716 14039778112 22814639432 28079556224 45629278864 56159112448 91258557728 182517115456 365034230912 730068461824