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21134888855910 = 23351716192844071
BaseRepresentation
bin1001100111000110110011…
…00010101110100101100110
32202211110211202001210022000
410303203121202232211212
510232233223021342120
6112541122304550130
74310642151104334
oct463433142564546
982743752053260
1021134888855910
11680928a856945
1224540bb622346
13ba401c26993b
14530d1117cb54
15269b78760990
hex1338d98ae966

21134888855910 has 128 divisors (see below), whose sum is σ = 59711860454400. Its totient is φ = 5301164459520.

The previous prime is 21134888855863. The next prime is 21134888855917. The reversal of 21134888855910 is 1955888843112.

21134888855910 is a `hidden beast` number, since 2 + 1 + 1 + 34 + 8 + 8 + 8 + 8 + 5 + 591 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21134888855917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6009175 + ... + 8853245.

It is an arithmetic number, because the mean of its divisors is an integer number (466498909800).

Almost surely, 221134888855910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21134888855910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29855930227200).

21134888855910 is an abundant number, since it is smaller than the sum of its proper divisors (38576971598490).

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

21134888855910 is a wasteful number, since it uses less digits than its factorization.

21134888855910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845723 (or 2845717 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 21134888855910 in words is "twenty-one trillion, one hundred thirty-four billion, eight hundred eighty-eight million, eight hundred fifty-five thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 1619 2295 3238 4590 4857 8095 9714 14571 16190 24285 27523 29142 43713 48570 55046 72855 82569 87426 137615 145710 165138 218565 247707 275230 412845 437130 495414 743121 825690 1238535 1486242 2477070 2844071 3715605 5688142 7431210 8532213 14220355 17064426 25596639 28440710 42661065 48349207 51193278 76789917 85322130 96698414 127983195 145047621 153579834 241746035 255966390 290095242 383949585 435142863 483492070 725238105 767899170 870285726 1305428589 1450476210 2175714315 2610857178 4351428630 4604550949 6527142945 9209101898 13054285890 13813652847 23022754745 27627305694 41440958541 46045509490 69068264235 78277366133 82881917082 124322875623 138136528470 156554732266 207204792705 234832098399 248645751246 391386830665 414409585410 469664196798 621614378115 704496295197 782773661330 1174160491995 1243228756230 1408992590394 2113488885591 2348320983990 3522481475985 4226977771182 7044962951970 10567444427955 21134888855910