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6712338240 = 2633519311319
BaseRepresentation
bin1100100000001011…
…00010011101000000
3122022210110010001000
412100011202131000
5102221324310430
63030020412000
7325223635146
oct62005423500
918283403030
106712338240
112934a38083
121373b47000
1382c83809a
14479679596
15294445e60
hex190162740

6712338240 has 448 divisors, whose sum is σ = 25749504000. Its totient is φ = 1639802880.

The previous prime is 6712338203. The next prime is 6712338307. The reversal of 6712338240 is 428332176.

It is a happy number.

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 = 6712338195 and 6712338204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5088301 + ... + 5089619.

Almost surely, 26712338240 is an apocalyptic number.

6712338240 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 6712338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874752000).

6712338240 is an abundant number, since it is smaller than the sum of its proper divisors (19037165760).

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

6712338240 is a wasteful number, since it uses less digits than its factorization.

6712338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6712338240 is about 81928.8608489096. The cubic root of 6712338240 is about 1886.3601400457.

The spelling of 6712338240 in words is "six billion, seven hundred twelve million, three hundred thirty-eight thousand, two hundred forty".