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42271617472 = 267470320063
BaseRepresentation
bin100111010111100101…
…011011000111000000
311001002222111122211221
4213113211123013000
51143033013224342
631230323244424
73024346551160
oct472745330700
9131088448757
1042271617472
1116a22253957
128238819714
133ca889aa06
14209016c5a0
15117614da67
hex9d795b1c0

42271617472 has 56 divisors (see below), whose sum is σ = 95891152896. Its totient is φ = 18111652608.

The previous prime is 42271617457. The next prime is 42271617497. The reversal of 42271617472 is 27471617224.

42271617472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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, 2096913 + ... + 2116975.

It is an arithmetic number, because the mean of its divisors is an integer number (1712342016).

Almost surely, 242271617472 is an apocalyptic number.

It is an amenable number.

42271617472 is an abundant number, since it is smaller than the sum of its proper divisors (53619535424).

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

42271617472 is a wasteful number, since it uses less digits than its factorization.

42271617472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24785 (or 24775 counting only the distinct ones).

The product of its digits is 263424, while the sum is 43.

The spelling of 42271617472 in words is "forty-two billion, two hundred seventy-one million, six hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 4703 9406 18812 20063 32921 37624 40126 65842 75248 80252 131684 140441 150496 160504 263368 280882 300992 321008 526736 561764 642016 1053472 1123528 1284032 2106944 2247056 4494112 8988224 94356289 188712578 377425156 660494023 754850312 1320988046 1509700624 2641976092 3019401248 5283952184 6038802496 10567904368 21135808736 42271617472