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27434844843472 = 2411198204200013
BaseRepresentation
bin1100011110011101011000…
…01011100110110111010000
310121010202010111201022020001
412033032230023212313100
512043443030234442342
6134203221013455344
75531050013332063
oct617165413466720
9117122114638201
1027434844843472
118818063764380
1230b1082041554
131240130288371
146abbd42d48da
1532899b0b18b7
hex18f3ac2e6dd0

27434844843472 has 40 divisors (see below), whose sum is σ = 61039248104160. Its totient is φ = 11814048017280.

The previous prime is 27434844843449. The next prime is 27434844843493.

27434844843472 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4102096663 + ... + 4102103350.

It is an arithmetic number, because the mean of its divisors is an integer number (1525981202604).

Almost surely, 227434844843472 is an apocalyptic number.

27434844843472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27434844843472 is an abundant number, since it is smaller than the sum of its proper divisors (33604403260688).

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

27434844843472 is a wasteful number, since it uses less digits than its factorization.

27434844843472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204200051 (or 8204200045 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 64.

The spelling of 27434844843472 in words is "twenty-seven trillion, four hundred thirty-four billion, eight hundred forty-four million, eight hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 8204200013 16408400026 32816800052 65633600104 90246200143 131267200208 155879800247 180492400286 311759600494 360984800572 623519200988 721969601144 1247038401976 1443939202288 1714677802717 2494076803952 3429355605434 6858711210868 13717422421736 27434844843472