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6472366992 = 24337133147113
BaseRepresentation
bin1100000011100100…
…00111101110010000
3121201001220022101000
412001302013232100
5101223411220432
62550125142000
7316251132420
oct60162075620
917631808330
106472366992
112821534133
1213076ba900
137c1bc7370
14455850480
1527d34357c
hex181c87b90

6472366992 has 640 divisors, whose sum is σ = 24318443520. Its totient is φ = 1602478080.

The previous prime is 6472366991. The next prime is 6472366993. The reversal of 6472366992 is 2996632746.

It is an interprime number because it is at equal distance from previous prime (6472366991) and next prime (6472366993).

It is a super-2 number, since 2×64723669922 = 83783068958262256128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5878656) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (6472366991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57277528 + ... + 57277640.

It is an arithmetic number, because the mean of its divisors is an integer number (37997568).

Almost surely, 26472366992 is an apocalyptic number.

6472366992 is a gapful number since it is divisible by the number (62) 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 6472366992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159221760).

6472366992 is an abundant number, since it is smaller than the sum of its proper divisors (17846076528).

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

6472366992 is a wasteful number, since it uses less digits than its factorization.

6472366992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 6472366992 is about 80451.0223179296. The cubic root of 6472366992 is about 1863.6071934109.

The spelling of 6472366992 in words is "six billion, four hundred seventy-two million, three hundred sixty-six thousand, nine hundred ninety-two".