Search a number
-
+
5449166579025 = 3252132119712
BaseRepresentation
bin100111101001011101110…
…1000110110010101010001
3201021221020210021111101100
41033102323220312111101
51203234343121012100
615331151303055013
71101455266455141
oct117227350662521
921257223244340
105449166579025
111810a84524444
12740102a41469
13306b148ba300
1414ba536d0921
1596b2a735400
hex4f4bba36551

5449166579025 has 81 divisors (see below), whose sum is σ = 10569471641937. Its totient is φ = 2682442526400.

The previous prime is 5449166578987. The next prime is 5449166579029. The reversal of 5449166579025 is 5209756619445.

The square root of 5449166579025 is 2334345.

It is a perfect power (a square), and thus also a powerful number.

5449166579025 is a `hidden beast` number, since 5 + 4 + 49 + 16 + 6 + 579 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1404530746641 + 4044635832384 = 1185129^2 + 2011128^2 .

It is not a de Polignac number, because 5449166579025 - 217 = 5449166447953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5449166579029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 455191290 + ... + 455203260.

Almost surely, 25449166579025 is an apocalyptic number.

5449166579025 is the 2334345-th square number.

5449166579025 is the 1167173-rd centered octagonal number.

It is an amenable number.

5449166579025 is a deficient number, since it is larger than the sum of its proper divisors (5120305062912).

5449166579025 is an equidigital number, since it uses as much as digits as its factorization.

5449166579025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23984 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 5449166579025 in words is "five trillion, four hundred forty-nine billion, one hundred sixty-six million, five hundred seventy-nine thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 11971 12675 35913 38025 59855 107739 155623 179565 299275 466869 538695 778115 897825 1400607 2023099 2334345 2693475 3890575 6069297 7003035 10115495 11671725 18207891 30346485 35015175 50577475 91039455 143304841 151732425 429914523 455197275 716524205 1289743569 1862962933 2149572615 3582621025 5588888799 6448717845 9314814665 10747863075 16766666397 24218518129 27944443995 32243589225 46574073325 72655554387 83833331985 121092590645 139722219975 217966663161 363277771935 419166659925 605462953225 1089833315805 1816388859675 5449166579025