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21312321147648 = 283290527102181
BaseRepresentation
bin1001101100010001010010…
…10101001101001100000000
32210110102211022020002222200
410312020221111031030000
510243140113203211043
6113154424542433200
74326523120515456
oct466105125151400
983412738202880
1021312321147648
116877560749883
122482579292800
13bb7987c3638b
14539743d409d6
1526e5b08167d3
hex13622954d300

21312321147648 has 108 divisors (see below), whose sum is σ = 61449956113728. Its totient is φ = 7103959050240.

The previous prime is 21312321147647. The next prime is 21312321147653. The reversal of 21312321147648 is 84674112321312.

21312321147648 is a `hidden beast` number, since 2 + 1 + 3 + 123 + 2 + 11 + 476 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (21312321147647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 208523118 + ... + 208625298.

Almost surely, 221312321147648 is an apocalyptic number.

It is an amenable number.

21312321147648 is an abundant number, since it is smaller than the sum of its proper divisors (40137634966080).

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

21312321147648 is a wasteful number, since it uses less digits than its factorization.

21312321147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192730 (or 192713 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 21312321147648 in words is "twenty-one trillion, three hundred twelve billion, three hundred twenty-one million, one hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 90527 102181 181054 204362 271581 306543 362108 408724 543162 613086 724216 814743 817448 919629 1086324 1226172 1448432 1629486 1634896 1839258 2172648 2452344 2896864 3258972 3269792 3678516 4345296 4904688 5793728 6517944 6539584 7357032 8690592 9809376 11587456 13035888 13079168 14714064 17381184 19618752 23174912 26071776 26158336 29428128 34762368 39237504 52143552 58856256 69524736 78475008 104287104 117712512 208574208 235425024 9250139387 18500278774 27750418161 37000557548 55500836322 74001115096 83251254483 111001672644 148002230192 166502508966 222003345288 296004460384 333005017932 444006690576 592008920768 666010035864 888013381152 1184017841536 1332020071728 1776026762304 2368035683072 2664040143456 3552053524608 5328080286912 7104107049216 10656160573824 21312321147648