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21354427192 = 23717127347509
BaseRepresentation
bin10011111000110100…
…101011001100111000
32001010020010022001211
4103320310223030320
5322213213132232
613450551252504
71354116431140
oct237064531470
961106108054
1021354427192
11906902123a
12417b67a134
13202418b147
141068133920
1584eb0ca47
hex4f8d2b338

21354427192 has 128 divisors (see below), whose sum is σ = 49069670400. Its totient is φ = 8504358912.

The previous prime is 21354427187. The next prime is 21354427207. The reversal of 21354427192 is 29172445312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41953434 + ... + 41953942.

It is an arithmetic number, because the mean of its divisors is an integer number (383356800).

Almost surely, 221354427192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21354427192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24534835200).

21354427192 is an abundant number, since it is smaller than the sum of its proper divisors (27715243208).

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

21354427192 is a wasteful number, since it uses less digits than its factorization.

21354427192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The spelling of 21354427192 in words is "twenty-one billion, three hundred fifty-four million, four hundred twenty-seven thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 127 136 238 254 347 476 508 509 694 889 952 1016 1018 1388 1778 2036 2159 2429 2776 3556 3563 4072 4318 4858 5899 7112 7126 8636 8653 9716 11798 14252 15113 17272 17306 19432 23596 28504 30226 34612 41293 44069 47192 60452 60571 64643 69224 82586 88138 120904 121142 129286 165172 176276 176623 242284 258572 308483 330344 352552 353246 452501 484568 517144 616966 706492 749173 905002 1098931 1233932 1236361 1412984 1498346 1810004 2197862 2467864 2472722 2996692 3002591 3620008 4395724 4945444 5244211 5993384 6005182 7692517 8791448 9890888 10488422 12010364 15385034 20976844 21018137 22431121 24020728 30770068 41953688 42036274 44862242 61540136 84072548 89724484 157017847 168145096 179448968 314035694 381329057 628071388 762658114 1256142776 1525316228 2669303399 3050632456 5338606798 10677213596 21354427192