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419257413809 = 13791073815281
BaseRepresentation
bin1100001100111011011…
…00000111000010110001
31111002011202210100111022
412012131230013002301
523332114344220214
6520334301225225
742201406134413
oct6063554070261
91432152710438
10419257413809
11151895975423
1269308562215
13306c7215b60
14164139c69b3
15ad8c37dd8e
hex619db070b1

419257413809 has 16 divisors (see below), whose sum is σ = 461496510720. Its totient is φ = 378536820480.

The previous prime is 419257413779. The next prime is 419257413859. The reversal of 419257413809 is 908314752914.

It is a de Polignac number, because none of the positive numbers 2k-419257413809 is a prime.

It is a super-2 number, since 2×4192574138092 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419257413859) 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, 1797752 + ... + 2017529.

It is an arithmetic number, because the mean of its divisors is an integer number (28843531920).

Almost surely, 2419257413809 is an apocalyptic number.

It is an amenable number.

419257413809 is a deficient number, since it is larger than the sum of its proper divisors (42239096911).

419257413809 is a wasteful number, since it uses less digits than its factorization.

419257413809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815480.

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 419257413809 in words is "four hundred nineteen billion, two hundred fifty-seven million, four hundred thirteen thousand, eight hundred nine".

Divisors: 1 13 79 107 1027 1391 8453 109889 3815281 49598653 301407199 408235067 3918293587 5307055871 32250570293 419257413809