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137410103437 = 1728572829173
BaseRepresentation
bin111111111111001000…
…1111100100010001101
3111010200100100111120021
41333332101330202031
54222403441302222
6143043023222141
712633102415315
oct1777621744215
9433610314507
10137410103437
115330346a562
122276a447951
13cc5b148a19
14691769a445
153893689ac7
hex1ffe47c88d

137410103437 has 8 divisors (see below), whose sum is σ = 145544027256. Its totient is φ = 129281843712.

The previous prime is 137410103393. The next prime is 137410103447. The reversal of 137410103437 is 734301014731.

It can be written as a sum of positive squares in 4 ways, for example, as 99484098921 + 37926004516 = 315411^2 + 194746^2 .

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

It is not a de Polignac number, because 137410103437 - 215 = 137410070669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137410103447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366018 + ... + 1463155.

It is an arithmetic number, because the mean of its divisors is an integer number (18193003407).

Almost surely, 2137410103437 is an apocalyptic number.

137410103437 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137410103437 is a deficient number, since it is larger than the sum of its proper divisors (8133923819).

137410103437 is a wasteful number, since it uses less digits than its factorization.

137410103437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832047.

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 137410103437 in words is "one hundred thirty-seven billion, four hundred ten million, one hundred three thousand, four hundred thirty-seven".

Divisors: 1 17 2857 48569 2829173 48095941 8082947261 137410103437