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21083507172 = 2235713238361
BaseRepresentation
bin10011101000101011…
…001100100111100100
32000102100100010200000
4103220223030213210
5321134334212142
613404032421300
71344316565640
oct235053144744
960370303600
1021083507172
118a3a0a9aa2
1241049a7830
131cb0002640
14104016dc20
15835e4514c
hex4e8acc9e4

21083507172 has 144 divisors (see below), whose sum is σ = 68022794112. Its totient is φ = 5560462080.

The previous prime is 21083507167. The next prime is 21083507183. The reversal of 21083507172 is 27170538012.

21083507172 is a `hidden beast` number, since 2 + 1 + 0 + 83 + 507 + 1 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 30729 + ... + 207632.

Almost surely, 221083507172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21083507172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34011397056).

21083507172 is an abundant number, since it is smaller than the sum of its proper divisors (46939286940).

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

21083507172 is a wasteful number, since it uses less digits than its factorization.

21083507172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238400 (or 238386 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 21083507172 in words is "twenty-one billion, eighty-three million, five hundred seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 29484 44226 88452 238361 476722 715083 953444 1430166 1668527 2145249 2860332 3098693 3337054 4290498 5005581 6197386 6435747 6674108 8580996 9296079 10011162 12394772 12871494 15016743 18592158 19307241 20022324 21690851 25742988 27888237 30033486 37184316 38614482 43381702 45050229 55776474 57921723 60066972 65072553 77228964 83664711 86763404 90100458 111552948 115843446 130145106 135150687 167329422 180200916 195217659 231686892 250994133 260290212 270301374 334658844 390435318 405452061 501988266 540602748 585652977 752982399 780870636 810904122 1003976532 1171305954 1505964798 1621808244 1756958931 2342611908 3011929596 3513917862 5270876793 7027835724 10541753586 21083507172