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20545201640 = 2353137569787
BaseRepresentation
bin10011001000100101…
…101110010111101000
31222000211102101022002
4103020211232113220
5314034032423030
613234402550132
71325062222025
oct231045562750
958024371262
1020545201640
11879325a097
123b94668348
131c25628062
14dcc88654c
15803a62245
hex4c896e5e8

20545201640 has 128 divisors (see below), whose sum is σ = 49156070400. Its totient is φ = 7714621440.

The previous prime is 20545201637. The next prime is 20545201669. The reversal of 20545201640 is 4610254502.

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 31 ways as a sum of consecutive naturals, for example, 26105327 + ... + 26106113.

It is an arithmetic number, because the mean of its divisors is an integer number (384031800).

Almost surely, 220545201640 is an apocalyptic number.

20545201640 is a gapful number since it is divisible by the number (20) 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 20545201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24578035200).

20545201640 is an abundant number, since it is smaller than the sum of its proper divisors (28610868760).

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

20545201640 is a wasteful number, since it uses less digits than its factorization.

20545201640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 20545201640 in words is "twenty billion, five hundred forty-five million, two hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 148 155 185 248 296 310 370 569 620 740 787 1138 1147 1240 1480 1574 2276 2294 2845 3148 3935 4552 4588 5690 5735 6296 7870 9176 11380 11470 15740 17639 21053 22760 22940 24397 29119 31480 35278 42106 45880 48794 58238 70556 84212 88195 97588 105265 116476 121985 141112 145595 168424 176390 195176 210530 232952 243970 291190 352780 421060 447803 487940 582380 652643 705560 842120 895606 902689 975880 1164760 1305286 1791212 1805378 2239015 2610572 3263215 3582424 3610756 4478030 4513445 5221144 6526430 7221512 8956060 9026890 13052860 13881893 16568711 17912120 18053780 26105720 27763786 33137422 36107560 55527572 66274844 69409465 82843555 111055144 132549688 138818930 165687110 277637860 331374220 513630041 555275720 662748440 1027260082 2054520164 2568150205 4109040328 5136300410 10272600820 20545201640