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21358783080 = 233459767961
BaseRepresentation
bin10011111001000101…
…010010101001101000
32001010112022121020000
4103321011102221220
5322220322024310
613451224503000
71354201442415
oct237105225150
961115277200
1021358783080
119070526948
12418101aa60
1320250549ab
14106894910c
158501bd4c0
hex4f9152a68

21358783080 has 160 divisors (see below), whose sum is σ = 72530405640. Its totient is φ = 5636874240.

The previous prime is 21358783021. The next prime is 21358783099. The reversal of 21358783080 is 8038785312.

It can be written as a sum of positive squares in 4 ways, for example, as 20751554916 + 607228164 = 144054^2 + 24642^2 .

It is a super-2 number, since 2×213587830802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280300 + ... + 348260.

Almost surely, 221358783080 is an apocalyptic number.

21358783080 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 21358783080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36265202820).

21358783080 is an abundant number, since it is smaller than the sum of its proper divisors (51171622560).

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

21358783080 is a wasteful number, since it uses less digits than its factorization.

21358783080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68081 (or 68068 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 21358783080 in words is "twenty-one billion, three hundred fifty-eight million, seven hundred eighty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 97 108 120 135 162 180 194 216 270 291 324 360 388 405 485 540 582 648 776 810 873 970 1080 1164 1455 1620 1746 1940 2328 2619 2910 3240 3492 3880 4365 5238 5820 6984 7857 8730 10476 11640 13095 15714 17460 20952 26190 31428 34920 39285 52380 62856 67961 78570 104760 135922 157140 203883 271844 314280 339805 407766 543688 611649 679610 815532 1019415 1223298 1359220 1631064 1834947 2038830 2446596 2718440 3058245 3669894 4077660 4893192 5504841 6116490 6592217 7339788 8155320 9174735 11009682 12232980 13184434 14679576 18349470 19776651 22019364 24465960 26368868 27524205 32961085 36698940 39553302 44038728 52737736 55048410 59329953 65922170 73397880 79106604 98883255 110096820 118659906 131844340 158213208 177989859 197766510 220193640 237319812 263688680 296649765 355979718 395533020 474639624 533969577 593299530 711959436 791066040 889949295 1067939154 1186599060 1423918872 1779898590 2135878308 2373198120 2669847885 3559797180 4271756616 5339695770 7119594360 10679391540 21358783080