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10437442370313 = 373834191296287
BaseRepresentation
bin1001011111100010100000…
…0010110111101100001001
31100221210212022020002222020
42113320220002313230021
52332001340221322223
634110521141115053
72125036360214640
oct227705002675411
940853768202866
1010437442370313
113364549129412
121206a1a3b8a89
135a93289bc86a
14281263d2a357
1513177da121e3
hex97e280b7b09

10437442370313 has 16 divisors (see below), whose sum is σ = 15904727838720. Its totient is φ = 5964232626576.

The previous prime is 10437442370281. The next prime is 10437442370357. The reversal of 10437442370313 is 31307324473401.

It is a happy number.

It is not a de Polignac number, because 10437442370313 - 25 = 10437442370281 is a prime.

It is a super-3 number, since 3×104374423703133 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10437442370513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7403656 + ... + 8699942.

It is an arithmetic number, because the mean of its divisors is an integer number (994045489920).

Almost surely, 210437442370313 is an apocalyptic number.

It is an amenable number.

10437442370313 is a deficient number, since it is larger than the sum of its proper divisors (5467285468407).

10437442370313 is a wasteful number, since it uses less digits than its factorization.

10437442370313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679716.

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 10437442370313 in words is "ten trillion, four hundred thirty-seven billion, four hundred forty-two million, three hundred seventy thousand, three hundred thirteen".

Divisors: 1 3 7 21 383419 1150257 1296287 2683933 3888861 8051799 9074009 27222027 497021065253 1491063195759 3479147456771 10437442370313