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10379246471 = 117731220657
BaseRepresentation
bin10011010101010011…
…01011101110000111
3222210100101100110222
421222221223232013
5132224041341341
64433531134555
7515131065536
oct115251535607
928710340428
1010379246471
1144468a5550
122017ba445b
13c95443679
1470668431d
1540b32244b
hex26aa6bb87

10379246471 has 8 divisors (see below), whose sum is σ = 11337471504. Its totient is φ = 9423464320.

The previous prime is 10379246417. The next prime is 10379246491. The reversal of 10379246471 is 17464297301.

It is a happy number.

10379246471 is digitally balanced in base 3, 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 10379246471 - 214 = 10379230087 is a prime.

It is a super-3 number, since 3×103792464713 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379246411) 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, 601826 + ... + 618831.

It is an arithmetic number, because the mean of its divisors is an integer number (1417183938).

Almost surely, 210379246471 is an apocalyptic number.

10379246471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10379246471 is a deficient number, since it is larger than the sum of its proper divisors (958225033).

10379246471 is a wasteful number, since it uses less digits than its factorization.

10379246471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221441.

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 10379246471 in words is "ten billion, three hundred seventy-nine million, two hundred forty-six thousand, four hundred seventy-one".

Divisors: 1 11 773 8503 1220657 13427227 943567861 10379246471