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6455464040 = 235809199489
BaseRepresentation
bin1100000001100011…
…01001000001101000
3121122220002112212202
412000301221001220
5101210044322130
62544322555332
7315654352604
oct60061510150
917586075782
106455464040
112812a39753
121301b08b48
137bb55980c
144534d0504
1527bb05145
hex180c69068

6455464040 has 32 divisors (see below), whose sum is σ = 14542821000. Its totient is φ = 2578980864.

The previous prime is 6455464039. The next prime is 6455464079. The reversal of 6455464040 is 404645546.

It can be written as a sum of positive squares in 4 ways, for example, as 6144364996 + 311099044 = 78386^2 + 17638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6455463985 and 6455464003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67385 + ... + 132104.

Almost surely, 26455464040 is an apocalyptic number.

It is an amenable number.

6455464040 is an abundant number, since it is smaller than the sum of its proper divisors (8087356960).

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

6455464040 is a wasteful number, since it uses less digits than its factorization.

6455464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200309 (or 200305 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 6455464040 is about 80345.9024468579. The cubic root of 6455464040 is about 1861.9834739598.

The spelling of 6455464040 in words is "six billion, four hundred fifty-five million, four hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 809 1618 3236 4045 6472 8090 16180 32360 199489 398978 797956 997445 1595912 1994890 3989780 7979560 161386601 322773202 645546404 806933005 1291092808 1613866010 3227732020 6455464040