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12346176444 = 2237146978291
BaseRepresentation
bin10110111111110001…
…11011001110111100
31011212102111202011020
423133320323032330
5200241110121234
65401033224140
7614643524340
oct133770731674
934772452136
1012346176444
115266105108
122486862050
131219aac564
148519b1620
154c3d51549
hex2dfe3b3bc

12346176444 has 24 divisors (see below), whose sum is σ = 32923137408. Its totient is φ = 3527478960.

The previous prime is 12346176433. The next prime is 12346176457. The reversal of 12346176444 is 44467164321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12346176396 and 12346176405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73489062 + ... + 73489229.

It is an arithmetic number, because the mean of its divisors is an integer number (1371797392).

Almost surely, 212346176444 is an apocalyptic number.

12346176444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12346176444 is an abundant number, since it is smaller than the sum of its proper divisors (20576960964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12346176444 is a wasteful number, since it uses less digits than its factorization.

12346176444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146978305 (or 146978303 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The spelling of 12346176444 in words is "twelve billion, three hundred forty-six million, one hundred seventy-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 146978291 293956582 440934873 587913164 881869746 1028848037 1763739492 2057696074 3086544111 4115392148 6173088222 12346176444