Search a number
-
+
61786943088 = 24313178277043
BaseRepresentation
bin111001100010110010…
…011110111001110000
312220111001000220211120
4321202302132321300
52003014424134323
644215020342240
74315065231213
oct714262367160
9186431026746
1061786943088
1124227133932
12bb843a4980
135a98a28170
142dc1d2b77a
15191957c5e3
hexe62c9ee70

61786943088 has 160 divisors (see below), whose sum is σ = 182251835136. Its totient is φ = 17868877824.

The previous prime is 61786943069. The next prime is 61786943129. The reversal of 61786943088 is 88034968716.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8769295 + ... + 8776337.

Almost surely, 261786943088 is an apocalyptic number.

61786943088 is a gapful number since it is divisible by the number (68) 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 61786943088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91125917568).

61786943088 is an abundant number, since it is smaller than the sum of its proper divisors (120464892048).

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

61786943088 is a wasteful number, since it uses less digits than its factorization.

61786943088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 61786943088 in words is "sixty-one billion, seven hundred eighty-six million, nine hundred forty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 827 884 1326 1654 1768 2481 2652 3308 3536 4962 5304 6616 7043 9924 10608 10751 13232 14059 14086 19848 21129 21502 28118 28172 32253 39696 42177 42258 43004 56236 56344 64506 84354 84516 86008 91559 112472 112688 119731 129012 168708 169032 172016 182767 183118 224944 239462 258024 274677 337416 338064 359193 365534 366236 478924 516048 548301 549354 674832 718386 731068 732472 957848 1096602 1098708 1436772 1462136 1464944 1556503 1915696 2193204 2197416 2873544 2924272 3113006 4386408 4394832 4669509 5747088 5824561 6226012 8772816 9339018 11649122 12452024 17473683 18678036 23298244 24904048 34947366 37356072 46596488 69894732 74712144 75719293 93192976 99017537 139789464 151438586 198035074 227157879 279578928 297052611 302877172 396070148 454315758 594105222 605754344 792140296 908631516 1188210444 1211508688 1287227981 1584280592 1817263032 2376420888 2574455962 3634526064 3861683943 4752841776 5148911924 7723367886 10297823848 15446735772 20595647696 30893471544 61786943088