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6413859252 = 2232883720161
BaseRepresentation
bin1011111100100101…
…11011100110110100
3121112222210210211200
411332102323212310
5101113421444002
62540235132500
7314640622053
oct57622734664
917488723750
106413859252
1127a1502429
1212abba4130
137b2a506b8
1444bb8039a
15278137b1c
hex17e4bb9b4

6413859252 has 36 divisors (see below), whose sum is σ = 16215449796. Its totient is φ = 2137605120.

The previous prime is 6413859247. The next prime is 6413859253. The reversal of 6413859252 is 2529583146.

6413859252 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 8 + 592 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5757167376 + 656691876 = 75876^2 + 25626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×64138592522 = 82275181008931999008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6413859198 and 6413859207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413859253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308052 + ... + 328212.

It is an arithmetic number, because the mean of its divisors is an integer number (450429161).

Almost surely, 26413859252 is an apocalyptic number.

It is an amenable number.

6413859252 is an abundant number, since it is smaller than the sum of its proper divisors (9801590544).

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

6413859252 is a wasteful number, since it uses less digits than its factorization.

6413859252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29008 (or 29003 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 6413859252 is about 80086.5734814519. The cubic root of 6413859252 is about 1857.9747536567.

The spelling of 6413859252 in words is "six billion, four hundred thirteen million, eight hundred fifty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 8837 17674 20161 26511 35348 40322 53022 60483 79533 80644 106044 120966 159066 181449 241932 318132 362898 725796 178162757 356325514 534488271 712651028 1068976542 1603464813 2137953084 3206929626 6413859252