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2689243056 = 2432173135437
BaseRepresentation
bin1010000001001010…
…1001011110110000
320221102021200221200
42200102221132300
521001421234211
61122503451200
7123433121523
oct24022513660
96842250850
102689243056
11116000a125
12630756b00
1333b1bb4a6
141b7232bba
1510b15cb56
hexa04a97b0

2689243056 has 120 divisors (see below), whose sum is σ = 8226152064. Its totient is φ = 816445440.

The previous prime is 2689243027. The next prime is 2689243079. The reversal of 2689243056 is 6503429862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58170 + ... + 93606.

Almost surely, 22689243056 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 2689243056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113076032).

2689243056 is an abundant number, since it is smaller than the sum of its proper divisors (5536909008).

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

2689243056 is a wasteful number, since it uses less digits than its factorization.

2689243056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35499 (or 35490 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2689243056 is about 51857.9121831953. The cubic root of 2689243056 is about 1390.6249550720.

The spelling of 2689243056 in words is "two billion, six hundred eighty-nine million, two hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 8432 9486 12648 18972 25296 35437 37944 70874 75888 106311 141748 212622 283496 318933 425244 566992 602429 637866 850488 1098547 1204858 1275732 1700976 1807287 2197094 2409716 2551464 3295641 3614574 4394188 4819432 5102928 5421861 6591282 7229148 8788376 9638864 9886923 10843722 13182564 14458296 17576752 18675299 19773846 21687444 26365128 28916592 37350598 39547692 43374888 52730256 56025897 74701196 79095384 86749776 112051794 149402392 158190768 168077691 224103588 298804784 336155382 448207176 672310764 896414352 1344621528 2689243056