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130633606077437 = 1753144987354137
BaseRepresentation
bin11101101100111110000001…
…101011111001101111111101
3122010112110011121121221220202
4131230332001223321233331
5114110300111123434222
61141500130011053245
736341652352411601
oct3554760153715775
9563473147557822
10130633606077437
1138695446024141
1212799802441225
1357b7908704bc8
1424389b377d501
15101812e902892
hex76cf81af9bfd

130633606077437 has 8 divisors (see below), whose sum is σ = 140927708222136. Its totient is φ = 120629478641152.

The previous prime is 130633606077427. The next prime is 130633606077497. The reversal of 130633606077437 is 734770606336031.

It can be written as a sum of positive squares in 4 ways, for example, as 58819404923161 + 71814201154276 = 7669381^2 + 8474326^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130633606077437 - 28 = 130633606077181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130633606077407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72493676168 + ... + 72493677969.

It is an arithmetic number, because the mean of its divisors is an integer number (17615963527767).

Almost surely, 2130633606077437 is an apocalyptic number.

130633606077437 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130633606077437 is a deficient number, since it is larger than the sum of its proper divisors (10294102144699).

130633606077437 is a wasteful number, since it uses less digits than its factorization.

130633606077437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144987354207.

The product of its (nonzero) digits is 24004512, while the sum is 56.

The spelling of 130633606077437 in words is "one hundred thirty trillion, six hundred thirty-three billion, six hundred six million, seventy-seven thousand, four hundred thirty-seven".

Divisors: 1 17 53 901 144987354137 2464785020329 7684329769261 130633606077437