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10290431937 = 319117958869
BaseRepresentation
bin10011001010101101…
…11000011111000001
3222120011021002211210
421211112320133001
5132033322310222
64421035400333
7513002141202
oct114526703701
928504232753
1010290431937
114400753905
121bb22b30a9
13c7cc181a6
146d89655a9
1540362bd0c
hex2655b87c1

10290431937 has 8 divisors (see below), whose sum is σ = 13792412160. Its totient is φ = 6824369840.

The previous prime is 10290431917. The next prime is 10290431941. The reversal of 10290431937 is 73913409201.

10290431937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10290431937 - 28 = 10290431681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10290431895 and 10290431904.

It is not an unprimeable number, because it can be changed into a prime (10290431917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8978862 + ... + 8980007.

It is an arithmetic number, because the mean of its divisors is an integer number (1724051520).

Almost surely, 210290431937 is an apocalyptic number.

It is an amenable number.

10290431937 is a deficient number, since it is larger than the sum of its proper divisors (3501980223).

10290431937 is a wasteful number, since it uses less digits than its factorization.

10290431937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17959063.

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 10290431937 in words is "ten billion, two hundred ninety million, four hundred thirty-one thousand, nine hundred thirty-seven".

Divisors: 1 3 191 573 17958869 53876607 3430143979 10290431937