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16412221461 = 3371009146539
BaseRepresentation
bin11110100100011111…
…01010000000010101
31120100210111020100010
433102033222000111
5232103012041321
611312322510433
71120465403106
oct172217520025
946323436303
1016412221461
116a622a8999
123220505419
1317172b655c
14b199d83ad
15660cc0676
hex3d23ea015

16412221461 has 16 divisors (see below), whose sum is σ = 22496820800. Its totient is φ = 10635141888.

The previous prime is 16412221439. The next prime is 16412221477.

16412221461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16412221461 - 27 = 16412221333 is a prime.

It is a super-2 number, since 2×164122214612 (a number of 21 digits) contains 22 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 (16412221421) 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, 38730 + ... + 185268.

It is an arithmetic number, because the mean of its divisors is an integer number (1406051300).

Almost surely, 216412221461 is an apocalyptic number.

It is an amenable number.

16412221461 is a deficient number, since it is larger than the sum of its proper divisors (6084599339).

16412221461 is a wasteful number, since it uses less digits than its factorization.

16412221461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147588.

The product of its digits is 4608, while the sum is 30.

The spelling of 16412221461 in words is "sixteen billion, four hundred twelve million, two hundred twenty-one thousand, four hundred sixty-one".

Divisors: 1 3 37 111 1009 3027 37333 111999 146539 439617 5421943 16265829 147857851 443573553 5470740487 16412221461