Search a number
-
+
10437006777681 = 311228752084787
BaseRepresentation
bin1001011111100000111000…
…0101001101110101010001
31100221202201221120201012210
42113320032011031311101
52331444442213341211
634110410020542333
72125022520562401
oct227701605156521
940852657521183
1010437006777681
113364345263200
1212069185519a9
135a9289698843
1428122213c801
1513175566c9a6
hex97e0e14dd51

10437006777681 has 12 divisors (see below), whose sum is σ = 15296109107216. Its totient is φ = 6325458652920.

The previous prime is 10437006777677. The next prime is 10437006777683. The reversal of 10437006777681 is 18677760073401.

10437006777681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10437006777681 - 22 = 10437006777677 is a prime.

It is a super-2 number, since 2×104370067776812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10437006777683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14376042031 + ... + 14376042756.

Almost surely, 210437006777681 is an apocalyptic number.

10437006777681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10437006777681 is a deficient number, since it is larger than the sum of its proper divisors (4859102329535).

10437006777681 is a wasteful number, since it uses less digits than its factorization.

10437006777681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28752084812 (or 28752084801 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 10437006777681 in words is "ten trillion, four hundred thirty-seven billion, six million, seven hundred seventy-seven thousand, six hundred eighty-one".

Divisors: 1 3 11 33 121 363 28752084787 86256254361 316272932657 948818797971 3479002259227 10437006777681