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6414372252 = 2232178177007
BaseRepresentation
bin1011111100101001…
…11000110110011100
3121120000202212112200
411332110320312130
5101114034403002
62540254131500
7314645156511
oct57624706634
917500685480
106414372252
1127a18228a2
1212b01b0b90
137b2ba0052
1444bc75308
152781d9b1c
hex17e538d9c

6414372252 has 18 divisors (see below), whose sum is σ = 16214107728. Its totient is φ = 2138124072.

The previous prime is 6414372229. The next prime is 6414372259. The reversal of 6414372252 is 2522734146.

6414372252 is a `hidden beast` number, since 641 + 4 + 3 + 7 + 2 + 2 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×64143722522 = 82288342774455103008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 178177007 = 6414372252 / (6 + 4 + 1 + 4 + 3 + 7 + 2 + 2 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6414372259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89088468 + ... + 89088539.

Almost surely, 26414372252 is an apocalyptic number.

It is an amenable number.

6414372252 is an abundant number, since it is smaller than the sum of its proper divisors (9799735476).

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

6414372252 is a wasteful number, since it uses less digits than its factorization.

6414372252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178177017 (or 178177012 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 6414372252 is about 80089.7762014603. The cubic root of 6414372252 is about 1858.0242878295.

The spelling of 6414372252 in words is "six billion, four hundred fourteen million, three hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 178177007 356354014 534531021 712708028 1069062042 1603593063 2138124084 3207186126 6414372252