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21901867074 = 23317195921283
BaseRepresentation
bin10100011001011100…
…111111100001000010
32002112101020010102000
4110121130333201002
5324323334221244
614021145004430
71403514540603
oct243134774102
962471203360
1021901867074
11931a03a99a
1242b2a83716
1320b0713279
1410bab17daa
15882be7169
hex51973f842

21901867074 has 128 divisors (see below), whose sum is σ = 55168128000. Its totient is φ = 6398901504.

The previous prime is 21901867067. The next prime is 21901867079. The reversal of 21901867074 is 47076810912.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21901867079) 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 63 ways as a sum of consecutive naturals, for example, 1018437 + ... + 1039719.

It is an arithmetic number, because the mean of its divisors is an integer number (431001000).

Almost surely, 221901867074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21901867074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27584064000).

21901867074 is an abundant number, since it is smaller than the sum of its proper divisors (33266260926).

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

21901867074 is a wasteful number, since it uses less digits than its factorization.

21901867074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21389 (or 21383 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 21901867074 in words is "twenty-one billion, nine hundred one million, eight hundred sixty-seven thousand, seventy-four".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 59 102 114 118 153 171 177 306 323 342 354 459 513 531 646 918 969 1003 1026 1062 1121 1593 1938 2006 2242 2907 3009 3186 3363 5814 6018 6726 8721 9027 10089 17442 18054 19057 20178 21283 27081 30267 38114 42566 54162 57171 60534 63849 114342 127698 171513 191547 343026 361811 383094 404377 514539 574641 723622 808754 1029078 1085433 1149282 1213131 1255697 2170866 2426262 2511394 3256299 3639393 3767091 6512598 6874409 7278786 7534182 9768897 10918179 11301273 13748818 19537794 20623227 21346849 21836358 22602546 23858243 33903819 41246454 42693698 47716486 61869681 64040547 67807638 71574729 123739362 128081094 143149458 185609043 192121641 214724187 371218086 384243282 405590131 429448374 576364923 644172561 811180262 1152729846 1216770393 1288345122 2433540786 3650311179 7300622358 10950933537 21901867074