Search a number
-
+
1471345664 = 2109714813
BaseRepresentation
bin101011110110010…
…1111010000000000
310210112121002210212
41113230233100000
511003131030124
6402000013252
751314142335
oct12754572000
93715532725
101471345664
11695599858
12350901228
131a5a9b949
14dd5a498c
158928940e
hex57b2f400

1471345664 has 44 divisors (see below), whose sum is σ = 2971777284. Its totient is φ = 728039424.

The previous prime is 1471345657. The next prime is 1471345723. The reversal of 1471345664 is 4665431741.

It can be written as a sum of positive squares in 2 ways, for example, as 547185664 + 924160000 = 23392^2 + 30400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91922 + ... + 106734.

Almost surely, 21471345664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1471345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485888642).

1471345664 is an abundant number, since it is smaller than the sum of its proper divisors (1500431620).

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

1471345664 is an equidigital number, since it uses as much as digits as its factorization.

1471345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14930 (or 14912 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 1471345664 is about 38358.1238331595. The cubic root of 1471345664 is about 1137.3782121996.

The spelling of 1471345664 in words is "one billion, four hundred seventy-one million, three hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 3104 6208 12416 14813 24832 29626 49664 59252 99328 118504 237008 474016 948032 1436861 1896064 2873722 3792128 5747444 7584256 11494888 15168512 22989776 45979552 91959104 183918208 367836416 735672832 1471345664