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130304007389664 = 2532432244696847
BaseRepresentation
bin11101101000001011000100…
…000100101100000111100000
3122002100221102022112210200100
4131220023010010230013200
5114034400101342432124
61141044500135222400
736306103526655663
oct3550130404540740
9562327368483610
10130304007389664
113857868a175709
1212745958517a00
1357927cc6c1b84
142426a676196da
15100e78d98c1c9
hex7682c412c1e0

130304007389664 has 108 divisors (see below), whose sum is σ = 379369918143216. Its totient is φ = 42424560372096.

The previous prime is 130304007389629. The next prime is 130304007389693. The reversal of 130304007389664 is 466983700403031.

It is a happy number.

130304007389664 is a `hidden beast` number, since 1 + 3 + 0 + 30 + 400 + 73 + 89 + 6 + 64 = 666.

It is a super-2 number, since 2×1303040073896642 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130304007389664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121815912 + ... + 122880935.

It is an arithmetic number, because the mean of its divisors is an integer number (3512684427252).

Almost surely, 2130304007389664 is an apocalyptic number.

It is an amenable number.

130304007389664 is an abundant number, since it is smaller than the sum of its proper divisors (249065910753552).

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

130304007389664 is a wasteful number, since it uses less digits than its factorization.

130304007389664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244696949 (or 244696895 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 130304007389664 in words is "one hundred thirty trillion, three hundred four billion, seven million, three hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 1849 2064 3096 3698 4128 5547 6192 7396 11094 12384 14792 16641 22188 29584 33282 44376 59168 66564 88752 133128 177504 266256 532512 244696847 489393694 734090541 978787388 1468181082 1957574776 2202271623 2936362164 3915149552 4404543246 5872724328 7830299104 8809086492 10521964421 11745448656 17618172984 21043928842 23490897312 31565893263 35236345968 42087857684 63131786526 70472691936 84175715368 94697679789 126263573052 168351430736 189395359578 252527146104 336702861472 378790719156 452444470103 505054292208 757581438312 904888940206 1010108584416 1357333410309 1515162876624 1809777880412 2714666820618 3030325753248 3619555760824 4072000230927 5429333641236 7239111521648 8144000461854 10858667282472 14478223043296 16288000923708 21717334564944 32576001847416 43434669129888 65152003694832 130304007389664