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21282795450 = 2325277199397
BaseRepresentation
bin10011110100100011…
…011010111110111010
32000221020100000210100
4103310203122332322
5322041343423300
613435512100230
71352256530220
oct236443327672
960836300710
1021282795450
119031646254
12415b694676
13201239a9b7
14105c808b10
158486ad700
hex4f48dafba

21282795450 has 144 divisors (see below), whose sum is σ = 65446168320. Its totient is φ = 4857356160.

The previous prime is 21282795403. The next prime is 21282795461. The reversal of 21282795450 is 5459728212.

21282795450 is a `hidden beast` number, since 2 + 128 + 2 + 79 + 5 + 450 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21282795396 and 21282795405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2260152 + ... + 2269548.

It is an arithmetic number, because the mean of its divisors is an integer number (454487280).

Almost surely, 221282795450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21282795450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32723084160).

21282795450 is an abundant number, since it is smaller than the sum of its proper divisors (44163372870).

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

21282795450 is a wasteful number, since it uses less digits than its factorization.

21282795450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 21282795450 in words is "twenty-one billion, two hundred eighty-two million, seven hundred ninety-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 719 1050 1438 1575 2157 3150 3595 4314 5033 6471 7190 9397 10066 10785 12942 15099 17975 18794 21570 25165 28191 30198 32355 35950 45297 46985 50330 53925 56382 64710 65779 75495 84573 90594 93970 107850 125825 131558 140955 150990 161775 169146 197337 226485 234925 251650 281910 323550 328895 377475 394674 422865 452970 469850 592011 657790 704775 754950 845730 986685 1132425 1184022 1409550 1644475 1973370 2114325 2264850 2960055 3288950 4228650 4933425 5920110 6756443 9866850 13512886 14800275 20269329 29600550 33782215 40538658 47295101 60807987 67564430 94590202 101346645 121615974 141885303 168911075 202693290 236475505 283770606 304039935 337822150 425655909 472951010 506733225 608079870 709426515 851311818 1013466450 1182377525 1418853030 1520199675 2128279545 2364755050 3040399350 3547132575 4256559090 7094265150 10641397725 21282795450