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21445454412 = 223229313717909
BaseRepresentation
bin10011111110001111…
…111010101001001100
32001100120101221221100
4103332033322221030
5322410014020122
613504002303100
71356303232464
oct237617725114
961316357840
1021445454412
119105444348
1241a6057a90
132039cac7c5
14107626aba4
15857addaac
hex4fe3faa4c

21445454412 has 144 divisors (see below), whose sum is σ = 59455468800. Its totient is φ = 6498455040.

The previous prime is 21445454399. The next prime is 21445454417.

21445454412 is a `hidden beast` number, since 2 + 144 + 54 + 54 + 412 = 666.

21445454412 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (21445454417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188514 + ... + 1206422.

It is an arithmetic number, because the mean of its divisors is an integer number (412885200).

Almost surely, 221445454412 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 21445454412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29727734400).

21445454412 is an abundant number, since it is smaller than the sum of its proper divisors (38010014388).

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

21445454412 is a wasteful number, since it uses less digits than its factorization.

21445454412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18016 (or 18011 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 2144 and 5454412, that added together give a triangular number (5456556 = T3303).

The spelling of 21445454412 in words is "twenty-one billion, four hundred forty-five million, four hundred fifty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 37 58 62 74 87 93 111 116 124 148 174 186 222 261 279 333 348 372 444 522 558 666 899 1044 1073 1116 1147 1332 1798 2146 2294 2697 3219 3441 3596 4292 4588 5394 6438 6882 8091 9657 10323 10788 12876 13764 16182 17909 19314 20646 32364 33263 35818 38628 41292 53727 66526 71636 99789 107454 133052 161181 199578 214908 299367 322362 399156 519361 555179 598734 644724 662633 1038722 1110358 1197468 1325266 1558083 1665537 1987899 2077444 2220716 2650532 3116166 3331074 3975798 4674249 4996611 5963697 6232332 6662148 7951596 9348498 9993222 11927394 16100191 18696996 19216357 19986444 20541623 23854788 32200382 38432714 41083246 48300573 57649071 61624869 64400764 76865428 82166492 96601146 115298142 123249738 144901719 172947213 184874607 193202292 230596284 246499476 289803438 345894426 369749214 579606876 595707067 691788852 739498428 1191414134 1787121201 2382828268 3574242402 5361363603 7148484804 10722727206 21445454412