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20688422260 = 225112331131891
BaseRepresentation
bin10011010001001000…
…000100010101110100
31222101210220202001111
4103101020010111310
5314332214003020
613300520404404
71331451454612
oct232110042564
958353822044
1020688422260
118857090940
124014616704
131c491c229c
1410038c86b2
15811402d5a
hex4d1204574

20688422260 has 96 divisors (see below), whose sum is σ = 51051700224. Its totient is φ = 6963792000.

The previous prime is 20688422159. The next prime is 20688422267. The reversal of 20688422260 is 6222488602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20688422267) 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, 90915 + ... + 222805.

It is an arithmetic number, because the mean of its divisors is an integer number (531788544).

Almost surely, 220688422260 is an apocalyptic number.

20688422260 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 20688422260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25525850112).

20688422260 is an abundant number, since it is smaller than the sum of its proper divisors (30363277964).

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

20688422260 is a wasteful number, since it uses less digits than its factorization.

20688422260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131965 (or 131963 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 20688422260 in words is "twenty billion, six hundred eighty-eight million, four hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 110 115 124 155 220 230 253 310 341 460 506 620 682 713 1012 1265 1364 1426 1705 2530 2852 3410 3565 5060 6820 7130 7843 14260 15686 31372 39215 78430 131891 156860 263782 527564 659455 1318910 1450801 2637820 2901602 3033493 4088621 5803204 6066986 7254005 8177242 12133972 14508010 15167465 16354484 20443105 29016020 30334930 33368423 40886210 44974831 60669860 66736846 81772420 89949662 94038283 133473692 166842115 179899324 188076566 224874155 333684230 376153132 449748310 470191415 667368460 899496620 940382830 1034421113 1880765660 2068842226 4137684452 5172105565 10344211130 20688422260