Search a number
-
+
1661065002 = 233173158369
BaseRepresentation
bin110001100000001…
…1101011100101010
311021202120211211000
41203000131130222
511400213040002
6432454215430
756106551052
oct14300353452
94252524730
101661065002
1178269a7a3
123a4354576
132061966cc
1411a86c562
159ac6261c
hex6301d72a

1661065002 has 64 divisors (see below), whose sum is σ = 4034534400. Its totient is φ = 504299520.

The previous prime is 1661064989. The next prime is 1661065027. The reversal of 1661065002 is 2005601661.

It is a happy number.

1661065002 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 0 + 650 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727 + ... + 57642.

It is an arithmetic number, because the mean of its divisors is an integer number (63039600).

Almost surely, 21661065002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661065002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017267200).

1661065002 is an abundant number, since it is smaller than the sum of its proper divisors (2373469398).

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

1661065002 is a wasteful number, since it uses less digits than its factorization.

1661065002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58428 (or 58422 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1661065002 is about 40756.1652023347. The cubic root of 1661065002 is about 1184.3013090020.

Adding to 1661065002 its reverse (2005601661), we get a palindrome (3666666663).

The spelling of 1661065002 in words is "one billion, six hundred sixty-one million, sixty-five thousand, two".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1581 1674 3162 4743 9486 14229 28458 58369 116738 175107 350214 525321 992273 1050642 1575963 1809439 1984546 2976819 3151926 3618878 5428317 5953638 8930457 10856634 16284951 17860914 26791371 30760463 32569902 48854853 53582742 61520926 92281389 97709706 184562778 276844167 553688334 830532501 1661065002