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21083591620 = 22572132127301
BaseRepresentation
bin10011101000101011…
…100001001111000100
32000102100111102111201
4103220223201033010
5321134344412440
613404034312244
71344320400100
oct235053411704
960370442451
1021083591620
118a3a157493
124104a28684
131cb0031c00
141040192900
15835e6019a
hex4e8ae13c4

21083591620 has 108 divisors (see below), whose sum is σ = 55771260804. Its totient is φ = 6672556800.

The previous prime is 21083591611. The next prime is 21083591621. The reversal of 21083591620 is 2619538012.

It can be written as a sum of positive squares in 6 ways, for example, as 4623728004 + 16459863616 = 67998^2 + 128296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21083591620.

It is not an unprimeable number, because it can be changed into a prime (21083591621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101970 + ... + 229270.

It is an arithmetic number, because the mean of its divisors is an integer number (516400563).

Almost surely, 221083591620 is an apocalyptic number.

21083591620 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 21083591620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885630402).

21083591620 is an abundant number, since it is smaller than the sum of its proper divisors (34687669184).

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

21083591620 is a wasteful number, since it uses less digits than its factorization.

21083591620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127350 (or 127328 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 21083591620 in words is "twenty-one billion, eighty-three million, five hundred ninety-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 845 910 980 1183 1274 1690 1820 2366 2548 3185 3380 4732 5915 6370 8281 11830 12740 16562 23660 33124 41405 82810 127301 165620 254602 509204 636505 891107 1273010 1654913 1782214 2546020 3309826 3564428 4455535 6237749 6619652 8274565 8911070 11584391 12475498 16549130 17822140 21513869 23168782 24950996 31188745 33098260 43027738 46337564 57921955 62377490 81090737 86055476 107569345 115843910 124754980 150597083 162181474 215138690 231687820 301194166 324362948 405453685 430277380 602388332 752985415 810907370 1054179581 1505970830 1621814740 2108359162 3011941660 4216718324 5270897905 10541795810 21083591620