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6009386040 = 2332577133587
BaseRepresentation
bin1011001100010111…
…11111010000111000
3120111210201102220100
411212023333100320
544301400323130
62432145555400
7301626636630
oct54613772070
916453642810
106009386040
112604161749
1211b8645b60
1374a004038
144101736c0
1525288dc60
hex1662ff438

6009386040 has 192 divisors, whose sum is σ = 22635624960. Its totient is φ = 1354187520.

The previous prime is 6009386039. The next prime is 6009386041. The reversal of 6009386040 is 406839006.

6009386040 is a `hidden beast` number, since 600 + 9 + 3 + 8 + 6 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6009386039) and next prime (6009386041).

It is a super-2 number, since 2×60093860402 = 72225441155493763200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6009385986 and 6009386004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6009386041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162127 + ... + 195713.

It is an arithmetic number, because the mean of its divisors is an integer number (117893880).

Almost surely, 26009386040 is an apocalyptic number.

6009386040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6009386040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317812480).

6009386040 is an abundant number, since it is smaller than the sum of its proper divisors (16626238920).

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

6009386040 is a wasteful number, since it uses less digits than its factorization.

6009386040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33682 (or 33675 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6009386040 is about 77520.2298758202. The cubic root of 6009386040 is about 1818.0676306500.

The spelling of 6009386040 in words is "six billion, nine million, three hundred eighty-six thousand, forty".