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337106446413 = 31110215346861
BaseRepresentation
bin1001110011111010001…
…11000010100001001101
31012020010112020210221020
410321331013002201031
521010343222241123
6414510425024353
733232545342012
oct4717507024115
91166115223836
10337106446413
1111aa69889740
12554003250b9
1325a34589689
141245d2d5709
158b8012b7e3
hex4e7d1c284d

337106446413 has 8 divisors (see below), whose sum is σ = 490336649376. Its totient is φ = 204306937200.

The previous prime is 337106446403. The next prime is 337106446487. The reversal of 337106446413 is 314644601733.

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

It is not a de Polignac number, because 337106446413 - 26 = 337106446349 is a prime.

It is a super-2 number, since 2×3371064464132 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337106446403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5107673398 + ... + 5107673463.

It is an arithmetic number, because the mean of its divisors is an integer number (61292081172).

Almost surely, 2337106446413 is an apocalyptic number.

337106446413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

337106446413 is a deficient number, since it is larger than the sum of its proper divisors (153230202963).

337106446413 is a wasteful number, since it uses less digits than its factorization.

337106446413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215346875.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 337106446413 in words is "three hundred thirty-seven billion, one hundred six million, four hundred forty-six thousand, four hundred thirteen".

Divisors: 1 3 11 33 10215346861 30646040583 112368815471 337106446413