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21126041104 = 24722921792
BaseRepresentation
bin10011101011001101…
…011100111000010000
32000112022101002020211
4103223031130320100
5321231231303404
613412152213504
71345344246400
oct235315347020
960468332224
1021126041104
118a61110403
12411709a294
131cb8a7564c
141045a82800
15839a47b04
hex4eb35ce10

21126041104 has 135 divisors (see below), whose sum is σ = 49589955597. Its totient is φ = 8692973184.

The previous prime is 21126041099. The next prime is 21126041113. The reversal of 21126041104 is 40114062112.

The square root of 21126041104 is 145348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11077983504 + 10048057600 = 105252^2 + 100240^2 .

It is a super-2 number, since 2×211260411042 (a number of 21 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 118022487 + ... + 118022665.

Almost surely, 221126041104 is an apocalyptic number.

21126041104 is the 145348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21126041104

21126041104 is an abundant number, since it is smaller than the sum of its proper divisors (28463914493).

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

21126041104 is an equidigital number, since it uses as much as digits as its factorization.

21126041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 21126041104 in words is "twenty-one billion, one hundred twenty-six million, forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 179 196 203 232 358 392 406 464 716 784 812 841 1253 1421 1432 1624 1682 2506 2842 2864 3248 3364 5012 5191 5684 5887 6728 8771 10024 10382 11368 11774 13456 17542 20048 20764 22736 23548 32041 35084 36337 41209 41528 47096 64082 70168 72674 82418 83056 94192 128164 140336 145348 150539 164836 224287 254359 256328 290696 301078 329672 448574 508718 512656 581392 602156 659344 897148 929189 1017436 1053773 1204312 1570009 1794296 1858378 2034872 2107546 2408624 3140018 3588592 3716756 4069744 4215092 6280036 6504323 7376411 7433512 8430184 12560072 13008646 14752822 14867024 16860368 25120144 26017292 26946481 29505644 45530261 52034584 53892962 59011288 91060522 104069168 107785924 118022576 182121044 188625367 215571848 364242088 377250734 431143696 728484176 754501468 1320377569 1509002936 2640755138 3018005872 5281510276 10563020552 21126041104