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2688474300 = 2235213765413
BaseRepresentation
bin1010000000111110…
…1101110010111100
320221100211122102020
42200033231302330
521001222134200
61122435200140
7123423440331
oct24017556274
96840748366
102688474300
11115a634596
12630446050
1333acac5c5
141b70b2988
1510b059ea0
hexa03edcbc

2688474300 has 72 divisors (see below), whose sum is σ = 7835550576. Its totient is φ = 711682560.

The previous prime is 2688474277. The next prime is 2688474389. The reversal of 2688474300 is 34748862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8394 + ... + 73806.

Almost surely, 22688474300 is an apocalyptic number.

2688474300 is a gapful number since it is divisible by the number (20) 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 2688474300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917775288).

2688474300 is an abundant number, since it is smaller than the sum of its proper divisors (5147076276).

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

2688474300 is a wasteful number, since it uses less digits than its factorization.

2688474300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65567 (or 65560 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2688474300 is about 51850.4995154338. The cubic root of 2688474300 is about 1390.4924328790.

The spelling of 2688474300 in words is "two billion, six hundred eighty-eight million, four hundred seventy-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 4110 6850 8220 10275 13700 20550 41100 65413 130826 196239 261652 327065 392478 654130 784956 981195 1308260 1635325 1962390 3270650 3924780 4905975 6541300 8961581 9811950 17923162 19623900 26884743 35846324 44807905 53769486 89615810 107538972 134423715 179231620 224039525 268847430 448079050 537694860 672118575 896158100 1344237150 2688474300