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6869726640 = 243557192657
BaseRepresentation
bin1100110010111011…
…11011010110110000
3122201202121021100000
412121131323112300
5103032122223030
63053402030000
7332144466360
oct63135732660
918652537300
106869726640
112a05866337
1213b87a8300
13856322c0a
144925289a0
152a3184860
hex19977b5b0

6869726640 has 480 divisors, whose sum is σ = 28793157120. Its totient is φ = 1487020032.

The previous prime is 6869726603. The next prime is 6869726701. The reversal of 6869726640 is 466279686.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2584192 + ... + 2586848.

It is an arithmetic number, because the mean of its divisors is an integer number (59985744).

Almost surely, 26869726640 is an apocalyptic number.

6869726640 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 6869726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396578560).

6869726640 is an abundant number, since it is smaller than the sum of its proper divisors (21923430480).

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

6869726640 is a wasteful number, since it uses less digits than its factorization.

6869726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6869726640 is about 82883.8141014275. The cubic root of 6869726640 is about 1900.9899402709.

The spelling of 6869726640 in words is "six billion, eight hundred sixty-nine million, seven hundred twenty-six thousand, six hundred forty".