Search a number
-
+
107076670373700 = 223252193616446001
BaseRepresentation
bin11000010110001010111010…
…111001101011111101000100
3112001010102121021010001001100
4120112022322321223331010
5103013321010103424300
61015422202052300100
731361014465630656
oct3026127271537504
9461112537101040
10107076670373700
1131132a62a41025
1210014214311630
134799395b201b1
141c627778d46d6
15c5a49aed6700
hex6162bae6bf44

107076670373700 has 108 divisors (see below), whose sum is σ = 337364869298548. Its totient is φ = 28405831680000.

The previous prime is 107076670373693. The next prime is 107076670373789. The reversal of 107076670373700 is 7373076670701.

107076670373700 is a `hidden beast` number, since 1 + 0 + 70 + 76 + 6 + 70 + 373 + 70 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38630600483904 + 68446069889796 = 6215352^2 + 8273214^2 .

It is a super-2 number, since 2×1070766703737002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308049301 + ... + 308396700.

Almost surely, 2107076670373700 is an apocalyptic number.

107076670373700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107076670373700 is an abundant number, since it is smaller than the sum of its proper divisors (230288198924848).

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

107076670373700 is a wasteful number, since it uses less digits than its factorization.

107076670373700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616446214 (or 616446204 counting only the distinct ones).

The product of its (nonzero) digits is 5445468, while the sum is 54.

The spelling of 107076670373700 in words is "one hundred seven trillion, seventy-six billion, six hundred seventy million, three hundred seventy-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 193 225 300 386 450 579 772 900 965 1158 1737 1930 2316 2895 3474 3860 4825 5790 6948 8685 9650 11580 14475 17370 19300 28950 34740 43425 57900 86850 173700 616446001 1232892002 1849338003 2465784004 3082230005 3698676006 5548014009 6164460010 7397352012 9246690015 11096028018 12328920020 15411150025 18493380030 22192056036 27740070045 30822300050 36986760060 46233450075 55480140090 61644600100 92466900150 110960280180 118974078193 138700350225 184933800300 237948156386 277400700450 356922234579 475896312772 554801400900 594870390965 713844469158 1070766703737 1189740781930 1427688938316 1784611172895 2141533407474 2379481563860 2974351954825 3569222345790 4283066814948 5353833518685 5948703909650 7138444691580 8923055864475 10707667037370 11897407819300 17846111728950 21415334074740 26769167593425 35692223457900 53538335186850 107076670373700