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64268817680 = 2451973407177
BaseRepresentation
bin111011110110101110…
…000101010100010000
320010220000010012201202
4323312232011110100
52023110304131210
645305155450332
74433432636204
oct736656052420
9203800105652
1064268817680
1125290087a61
12105575b69a8
1360a2c7c502
1431797c0b04
151a123c79a5
hexef6b85510

64268817680 has 40 divisors (see below), whose sum is σ = 149501103192. Its totient is φ = 25694434304.

The previous prime is 64268817673. The next prime is 64268817689. The reversal of 64268817680 is 8671886246.

64268817680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4584373264 + 59684444416 = 67708^2 + 244304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (64268817689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45749 + ... + 361428.

Almost surely, 264268817680 is an apocalyptic number.

It is an amenable number.

64268817680 is an abundant number, since it is smaller than the sum of its proper divisors (85232285512).

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

64268817680 is a wasteful number, since it uses less digits than its factorization.

64268817680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409163 (or 409157 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 64268817680 in words is "sixty-four billion, two hundred sixty-eight million, eight hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1973 3946 7892 9865 15784 19730 31568 39460 78920 157840 407177 814354 1628708 2035885 3257416 4071770 6514832 8143540 16287080 32574160 803360221 1606720442 3213440884 4016801105 6426881768 8033602210 12853763536 16067204420 32134408840 64268817680