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2688829368 = 233376534637
BaseRepresentation
bin1010000001000100…
…0100011110111000
320221101111200110220
42200101010132320
521001320014433
61122450540040
7123426446451
oct24021043670
96841450426
102688829368
11115a857335
12630597620
1333b0a50c4
141b7166128
1510b0ca2b3
hexa04447b8

2688829368 has 64 divisors (see below), whose sum is σ = 6915814560. Its totient is φ = 870529536.

The previous prime is 2688829357. The next prime is 2688829369. The reversal of 2688829368 is 8639288862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688829369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577546 + ... + 582182.

Almost surely, 22688829368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688829368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457907280).

2688829368 is an abundant number, since it is smaller than the sum of its proper divisors (4226985192).

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

2688829368 is a wasteful number, since it uses less digits than its factorization.

2688829368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5332 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

The square root of 2688829368 is about 51853.9233616898. The cubic root of 2688829368 is about 1390.5536445030.

The spelling of 2688829368 in words is "two billion, six hundred eighty-eight million, eight hundred twenty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 653 888 1306 1959 2612 3918 4637 5224 7836 9274 13911 15672 18548 24161 27822 37096 48322 55644 72483 96644 111288 144966 171569 193288 289932 343138 514707 579864 686276 1029414 1372552 2058828 3027961 4117656 6055922 9083883 12111844 18167766 24223688 36335532 72671064 112034557 224069114 336103671 448138228 672207342 896276456 1344414684 2688829368