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130059612672 = 29311363617
BaseRepresentation
bin111100100100000101…
…0000011001000000000
3110102201002002212211120
41321020022003020000
54112330230101142
6135425404512240
712252666316143
oct1711012031000
9412632085746
10130059612672
1150181296000
122125884b680
13c3593473c2
14641b38605a
1535b31db7ec
hex1e48283200

130059612672 has 160 divisors (see below), whose sum is σ = 381115589184. Its totient is φ = 39411384320.

The previous prime is 130059612581. The next prime is 130059612673. The reversal of 130059612672 is 276216950031.

130059612672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130059612673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2012608 + ... + 2076224.

Almost surely, 2130059612672 is an apocalyptic number.

130059612672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130059612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190557794592).

130059612672 is an abundant number, since it is smaller than the sum of its proper divisors (251055976512).

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

130059612672 is an frugal number, since it uses more digits than its factorization.

130059612672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63671 (or 63633 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 130059612672 in words is "one hundred thirty billion, fifty-nine million, six hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1056 1331 1408 1452 1536 1936 2112 2662 2816 2904 3872 3993 4224 5324 5632 5808 7744 7986 8448 10648 11616 15488 15972 16896 21296 23232 30976 31944 42592 46464 61952 63617 63888 85184 92928 127234 127776 170368 185856 190851 254468 255552 340736 381702 508936 511104 681472 699787 763404 1017872 1022208 1399574 1526808 2035744 2044416 2099361 2799148 3053616 4071488 4198722 5598296 6107232 7697657 8142976 8397444 11196592 12214464 15395314 16285952 16794888 22393184 23092971 24428928 30790628 32571904 33589776 44786368 46185942 48857856 61581256 67179552 84674227 89572736 92371884 97715712 123162512 134359104 169348454 179145472 184743768 246325024 254022681 268718208 338696908 358290944 369487536 492650048 508045362 537436416 677393816 738975072 985300096 1016090724 1074872832 1354787632 1477950144 1970600192 2032181448 2709575264 2955900288 3941200384 4064362896 5419150528 5911800576 8128725792 10838301056 11823601152 16257451584 21676602112 32514903168 43353204224 65029806336 130059612672