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6206972148 = 22321331237373
BaseRepresentation
bin1011100011111011…
…01110000011110100
3121000120111212002100
411301331232003310
5100202441102043
62503524542100
7306546251466
oct56175560364
917016455070
106206972148
1126a5746053
121252851930
1377bc246b0
1442c4c8136
15264dbccd3
hex171f6e0f4

6206972148 has 216 divisors, whose sum is σ = 17979345384. Its totient is φ = 1793456640.

The previous prime is 6206972147. The next prime is 6206972173. The reversal of 6206972148 is 8412796026.

It is a happy number.

6206972148 is a `hidden beast` number, since 620 + 6 + 9 + 7 + 2 + 14 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1158585444 + 5048386704 = 34038^2 + 71052^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6206972147) 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 71 ways as a sum of consecutive naturals, for example, 16640490 + ... + 16640862.

Almost surely, 26206972148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6206972148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989672692).

6206972148 is an abundant number, since it is smaller than the sum of its proper divisors (11772373236).

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

6206972148 is a wasteful number, since it uses less digits than its factorization.

6206972148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6206972148 is about 78784.3394844432. The cubic root of 6206972148 is about 1837.7789193148.

The spelling of 6206972148 in words is "six billion, two hundred six million, nine hundred seventy-two thousand, one hundred forty-eight".