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5658287440 = 2451329434363
BaseRepresentation
bin1010100010100001…
…01001110101010000
3112121100001210011111
411101100221311100
543042010144230
62333244423104
7260134435561
oct52120516520
915540053144
105658287440
112443a57113
12111ab47a94
136c2354aa0
143b969c168
15231b3992a
hex151429d50

5658287440 has 160 divisors (see below), whose sum is σ = 15000289920. Its totient is φ = 1969809408.

The previous prime is 5658287413. The next prime is 5658287449. The reversal of 5658287440 is 447828565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5658287449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1294699 + ... + 1299061.

It is an arithmetic number, because the mean of its divisors is an integer number (93751812).

Almost surely, 25658287440 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 5658287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500144960).

5658287440 is an abundant number, since it is smaller than the sum of its proper divisors (9342002480).

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

5658287440 is a wasteful number, since it uses less digits than its factorization.

5658287440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

The square root of 5658287440 is about 75221.5889223300. The cubic root of 5658287440 is about 1781.9478991487.

The spelling of 5658287440 in words is "five billion, six hundred fifty-eight million, two hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 43 52 58 65 80 86 104 116 130 145 172 208 215 232 260 290 344 377 430 464 520 559 580 688 754 860 1040 1118 1160 1247 1508 1720 1885 2236 2320 2494 2795 3016 3440 3770 4363 4472 4988 5590 6032 6235 7540 8726 8944 9976 11180 12470 15080 16211 17452 19952 21815 22360 24940 30160 32422 34904 43630 44720 49880 56719 64844 69808 81055 87260 99760 113438 126527 129688 162110 174520 187609 226876 253054 259376 283595 324220 349040 375218 453752 506108 567190 632635 648440 750436 907504 938045 1012216 1134380 1265270 1296880 1500872 1644851 1876090 2024432 2268760 2438917 2530540 3001744 3289702 3752180 4537520 4877834 5061080 5440661 6579404 7504360 8224255 9755668 10122160 10881322 12194585 13158808 15008720 16448510 19511336 21762644 24389170 26317616 27203305 32897020 39022672 43525288 48778340 54406610 65794040 70728593 87050576 97556680 108813220 131588080 141457186 195113360 217626440 282914372 353642965 435252880 565828744 707285930 1131657488 1414571860 2829143720 5658287440