Search a number
-
+
4634404164 = 22321353186841
BaseRepresentation
bin1000101000011101…
…10110010101000100
3102221222110010100200
410110032312111010
533442401413124
62043511210500
7222562533255
oct42416662504
912858403320
104634404164
111a69000495
12a94076a30
1358b1a4ab0
1431d6d4b2c
151c1cdbbc9
hex1143b6544

4634404164 has 72 divisors (see below), whose sum is σ = 12853982232. Its totient is φ = 1399057920.

The previous prime is 4634404129. The next prime is 4634404193. The reversal of 4634404164 is 4614044364.

4634404164 is a `hidden beast` number, since 4 + 634 + 4 + 0 + 4 + 16 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11492100 + 4622912064 = 3390^2 + 67992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68617 + ... + 118224.

It is an arithmetic number, because the mean of its divisors is an integer number (178527531).

Almost surely, 24634404164 is an apocalyptic number.

It is an amenable number.

4634404164 is an abundant number, since it is smaller than the sum of its proper divisors (8219578068).

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

4634404164 is a wasteful number, since it uses less digits than its factorization.

4634404164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186917 (or 186912 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4634404164 is about 68076.4582216202. The cubic root of 4634404164 is about 1667.2394139449.

The spelling of 4634404164 in words is "four billion, six hundred thirty-four million, four hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6201 8268 12402 24804 186841 373682 560523 747364 1121046 1681569 2242092 2428933 3363138 4857866 6726276 7286799 9715732 9902573 14573598 19805146 21860397 29147196 29707719 39610292 43720794 59415438 87441588 89123157 118830876 128733449 178246314 257466898 356492628 386200347 514933796 772400694 1158601041 1544801388 2317202082 4634404164