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4118242688 = 27722320611
BaseRepresentation
bin1111010101110111…
…0110010110000000
3101122000012101220222
43311131312112000
531413232231223
61520352122212
7204024325310
oct36535662600
911560171828
104118242688
11182370575a
1296b236368
135082817c1
142b0d33440
151918300c8
hexf5776580

4118242688 has 64 divisors (see below), whose sum is σ = 9418859520. Its totient is φ = 1756961280.

The previous prime is 4118242679. The next prime is 4118242691. The reversal of 4118242688 is 8862428114.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 189503 + ... + 210113.

It is an arithmetic number, because the mean of its divisors is an integer number (147169680).

Almost surely, 24118242688 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 4118242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709429760).

4118242688 is an abundant number, since it is smaller than the sum of its proper divisors (5300616832).

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

4118242688 is a wasteful number, since it uses less digits than its factorization.

4118242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20855 (or 20843 counting only the distinct ones).

The product of its digits is 196608, while the sum is 44.

The square root of 4118242688 is about 64173.5357293020. The cubic root of 4118242688 is about 1602.8909566683.

The spelling of 4118242688 in words is "four billion, one hundred eighteen million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 223 224 446 448 892 896 1561 1784 3122 3568 6244 7136 12488 14272 20611 24976 28544 41222 49952 82444 99904 144277 164888 199808 288554 329776 577108 659552 1154216 1319104 2308432 2638208 4596253 4616864 9192506 9233728 18385012 18467456 32173771 36770024 64347542 73540048 128695084 147080096 257390168 294160192 514780336 588320384 1029560672 2059121344 4118242688