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10289522480 = 2452931791811
BaseRepresentation
bin10011001010100110…
…11010011100110000
3222120002112220022012
421211103122130300
5132033104204410
64421004102052
7512661332546
oct114523323460
928502486265
1010289522480
114400192596
121bb1b34928
13c7c98a253
146d87a9d96
154034ec605
hex2654da730

10289522480 has 160 divisors (see below), whose sum is σ = 25884057600. Its totient is φ = 3794918400.

The previous prime is 10289522479. The next prime is 10289522519. The reversal of 10289522480 is 8422598201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5680775 + ... + 5682585.

It is an arithmetic number, because the mean of its divisors is an integer number (161775360).

Almost surely, 210289522480 is an apocalyptic number.

10289522480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10289522480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942028800).

10289522480 is an abundant number, since it is smaller than the sum of its proper divisors (15594535120).

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

10289522480 is a wasteful number, since it uses less digits than its factorization.

10289522480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 10289522480 in words is "ten billion, two hundred eighty-nine million, five hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 79 80 116 124 145 155 158 232 248 290 310 316 395 464 496 580 620 632 790 899 1160 1240 1264 1580 1798 1811 2291 2320 2449 2480 3160 3596 3622 4495 4582 4898 6320 7192 7244 8990 9055 9164 9796 11455 12245 14384 14488 17980 18110 18328 19592 22910 24490 28976 35960 36220 36656 39184 45820 48980 52519 56141 71021 71920 72440 91640 97960 105038 112282 142042 143069 144880 183280 195920 210076 224564 262595 280705 284084 286138 355105 420152 449128 525190 561410 568168 572276 710210 715345 840304 898256 1050380 1122820 1136336 1144552 1420420 1430690 1628089 2100760 2245640 2289104 2840840 2861380 3256178 4149001 4201520 4435139 4491280 5681680 5722760 6512356 8140445 8298002 8870278 11445520 13024712 16280890 16596004 17740556 20745005 22175695 26049424 32561780 33192008 35481112 41490010 44351390 65123560 66384016 70962224 82980020 88702780 128619031 130247120 165960040 177405560 257238062 331920080 354811120 514476124 643095155 1028952248 1286190310 2057904496 2572380620 5144761240 10289522480