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3538056128 = 26537331423
BaseRepresentation
bin1101001011100010…
…0111001111000000
3100010120110212120212
43102320213033000
524221220244003
61343024453252
7153450660305
oct32270471700
910116425525
103538056128
11155615aa32
12828a7a228
13445002449
14257c670ac
1515a927dd8
hexd2e273c0

3538056128 has 56 divisors (see below), whose sum is σ = 7168091328. Its totient is φ = 1732064256.

The previous prime is 3538056113. The next prime is 3538056131. The reversal of 3538056128 is 8216508353.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2485625 + ... + 2487047.

Almost surely, 23538056128 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 3538056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584045664).

3538056128 is an abundant number, since it is smaller than the sum of its proper divisors (3630035200).

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

3538056128 is a wasteful number, since it uses less digits than its factorization.

3538056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 3538056128 is about 59481.5612438006. The cubic root of 3538056128 is about 1523.7775570149. Note that the first 3 decimals are identical.

The spelling of 3538056128 in words is "three billion, five hundred thirty-eight million, fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 733 848 1423 1466 1696 2846 2932 3392 5692 5864 11384 11728 22768 23456 38849 45536 46912 75419 77698 91072 150838 155396 301676 310792 603352 621584 1043059 1206704 1243168 2086118 2413408 2486336 4172236 4826816 8344472 16688944 33377888 55282127 66755776 110564254 221128508 442257016 884514032 1769028064 3538056128