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10419995971 = 73112761727
BaseRepresentation
bin10011011010001010…
…01000010101000011
3222220012001122021201
421231011020111003
5132320004332341
64441544402031
7516134335000
oct115505102503
928805048251
1010419995971
1144678a8220
122029776317
13ca0a103b8
1470bc508a7
1540ebc1331
hex26d148543

10419995971 has 16 divisors (see below), whose sum is σ = 13256294400. Its totient is φ = 8119474440.

The previous prime is 10419995893. The next prime is 10419996001. The reversal of 10419995971 is 17959991401.

It is not a de Polignac number, because 10419995971 - 229 = 9883125059 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10419995071) 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, 1377091 + ... + 1384636.

It is an arithmetic number, because the mean of its divisors is an integer number (828518400).

Almost surely, 210419995971 is an apocalyptic number.

10419995971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10419995971 is a deficient number, since it is larger than the sum of its proper divisors (2836298429).

10419995971 is an equidigital number, since it uses as much as digits as its factorization.

10419995971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761759 (or 2761745 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 55.

The spelling of 10419995971 in words is "ten billion, four hundred nineteen million, nine hundred ninety-five thousand, nine hundred seventy-one".

Divisors: 1 7 11 49 77 343 539 3773 2761727 19332089 30378997 135324623 212652979 947272361 1488570853 10419995971