Search a number
-
+
131680462426780 = 22537211843348677
BaseRepresentation
bin11101111100001100111111…
…001011111101001010011100
3122021020112021211112120000211
4131330030333023331022130
5114224423041340124110
61144021100323502204
736510412420514251
oct3574147713751234
9567215254476024
10131680462426780
1138a59409156893
1212928680527964
135862550371037
142473522bd9428
15103549ea4198a
hex77c33f2fd29c

131680462426780 has 48 divisors (see below), whose sum is σ = 285348711898656. Its totient is φ = 51005727924480.

The previous prime is 131680462426759. The next prime is 131680462426781. The reversal of 131680462426780 is 87624264086131.

It is a super-2 number, since 2×1316804624267802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131680462426781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421518199 + ... + 421830478.

It is an arithmetic number, because the mean of its divisors is an integer number (5944764831222).

Almost surely, 2131680462426780 is an apocalyptic number.

131680462426780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131680462426780 is an abundant number, since it is smaller than the sum of its proper divisors (153668249471876).

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

131680462426780 is a wasteful number, since it uses less digits than its factorization.

131680462426780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843348934 (or 843348932 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 131680462426780 in words is "one hundred thirty-one trillion, six hundred eighty billion, four hundred sixty-two million, four hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 211 370 422 740 844 1055 2110 4220 7807 15614 31228 39035 78070 156140 843348677 1686697354 3373394708 4216743385 8433486770 16866973540 31203901049 62407802098 124815604196 156019505245 177946570847 312039010490 355893141694 624078020980 711786283388 889732854235 1779465708470 3558931416940 6584023121339 13168046242678 26336092485356 32920115606695 65840231213390 131680462426780