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21406023313650 = 232521991030323201
BaseRepresentation
bin1001101110111111110100…
…11010100110100011110010
32210210101200120101100010100
410313133322122212203302
510301204013432014100
6113305442533213230
74336351133010063
oct467377232464362
983711616340110
1021406023313650
116903275119a98
122498769a91216
13bc376ba5a111
145400b27c456a
15271c46bd6400
hex1377fa6a68f2

21406023313650 has 144 divisors (see below), whose sum is σ = 57807950054400. Its totient is φ = 5678792064000.

The previous prime is 21406023313567. The next prime is 21406023313651. The reversal of 21406023313650 is 5631332060412.

21406023313650 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 60 + 233 + 1 + 365 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (21406023313651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 922622050 + ... + 922645250.

It is an arithmetic number, because the mean of its divisors is an integer number (401444097600).

Almost surely, 221406023313650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21406023313650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28903975027200).

21406023313650 is an abundant number, since it is smaller than the sum of its proper divisors (36401926740750).

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

21406023313650 is a wasteful number, since it uses less digits than its factorization.

21406023313650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33721 (or 33713 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 21406023313650 in words is "twenty-one trillion, four hundred six billion, twenty-three million, three hundred thirteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 199 225 398 450 597 995 1194 1791 1990 2985 3582 4975 5970 8955 9950 10303 14925 17910 20606 23201 29850 30909 44775 46402 51515 61818 69603 89550 92727 103030 116005 139206 154545 185454 208809 232010 257575 309090 348015 417618 463635 515150 580025 696030 772725 927270 1044045 1160050 1545450 1740075 2050297 2088090 2318175 3480150 4100594 4616999 4636350 5220225 6150891 9233998 10251485 10440450 12301782 13850997 18452673 20502970 23084995 27701994 30754455 36905346 41552991 46169990 51257425 61508910 69254985 83105982 92263365 102514850 115424975 138509970 153772275 184526730 207764955 230849950 239039903 307544550 346274925 415529910 461316825 478079806 692549850 717119709 922633650 1038824775 1195199515 1434239418 2077649550 2151359127 2390399030 3585598545 4302718254 5975997575 7171197090 10756795635 11951995150 17927992725 21513591270 35855985450 47568940697 53783978175 95137881394 107567956350 142706822091 237844703485 285413644182 428120466273 475689406970 713534110455 856240932546 1189223517425 1427068220910 2140602331365 2378447034850 3567670552275 4281204662730 7135341104550 10703011656825 21406023313650