Search a number
-
+
1464014101664 = 25313370343789
BaseRepresentation
bin10101010011011110000…
…010100101110010100000
312011221212122211002112002
4111103132002211302200
5142441300102223124
63040320411023132
7210525430353032
oct25233602456240
95157778732462
101464014101664
11514980880344
121b789b43aaa8
13a8095b8223a
1450c04243c52
1528137ec10ae
hex154de0a5ca0

1464014101664 has 48 divisors (see below), whose sum is σ = 2975410690560. Its totient is φ = 708356724480.

The previous prime is 1464014101663. The next prime is 1464014101679. The reversal of 1464014101664 is 4661014104641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1464014101663) 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, 33411482 + ... + 33455270.

It is an arithmetic number, because the mean of its divisors is an integer number (61987722720).

Almost surely, 21464014101664 is an apocalyptic number.

It is an amenable number.

1464014101664 is an abundant number, since it is smaller than the sum of its proper divisors (1511396588896).

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

1464014101664 is a wasteful number, since it uses less digits than its factorization.

1464014101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77533 (or 77525 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 1464014101664 in words is "one trillion, four hundred sixty-four billion, fourteen million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 33703 43789 67406 87578 134812 175156 269624 350312 539248 700624 1044793 1078496 1357459 1401248 2089586 2714918 4179172 5429836 8358344 10859672 16716688 21719344 33433376 43438688 1475820667 2951641334 5903282668 11806565336 23613130672 45750440677 47226261344 91500881354 183001762708 366003525416 732007050832 1464014101664