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45840312648 = 23321348974693
BaseRepresentation
bin101010101100010010…
…111010100101001000
311101022200122011022100
4222230102322211020
51222340110001043
633020404553400
73211652141244
oct525422724510
9141280564270
1045840312648
1118493730409
128a739b2860
134427039c70
14230c0cd424
1512d45c9cd3
hexaac4ba948

45840312648 has 48 divisors (see below), whose sum is σ = 133700914620. Its totient is φ = 14104711296.

The previous prime is 45840312631. The next prime is 45840312719. The reversal of 45840312648 is 84621304854.

45840312648 is a `hidden beast` number, since 4 + 584 + 0 + 3 + 1 + 2 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45248947524 + 591365124 = 212718^2 + 24318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24486411 + ... + 24488282.

Almost surely, 245840312648 is an apocalyptic number.

It is an amenable number.

45840312648 is an abundant number, since it is smaller than the sum of its proper divisors (87860601972).

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

45840312648 is a wasteful number, since it uses less digits than its factorization.

45840312648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48974718 (or 48974711 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 45840312648 in words is "forty-five billion, eight hundred forty million, three hundred twelve thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 48974693 97949386 146924079 195898772 293848158 391797544 440772237 587696316 636671009 881544474 1175392632 1273342018 1763088948 1910013027 2546684036 3526177896 3820026054 5093368072 5730039081 7640052108 11460078162 15280104216 22920156324 45840312648