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9164081052 = 22327414320627
BaseRepresentation
bin10001000100011100…
…01100011110011100
3212122122211112220100
420202032030132130
5122232001043202
64113202021100
7443044255320
oct104216143634
925578745810
109164081052
113982980805
121939047790
13b3076c489
1462d127980
153897dd41c
hex22238c79c

9164081052 has 144 divisors (see below), whose sum is σ = 27751756032. Its totient is φ = 2494920960.

The previous prime is 9164081029. The next prime is 9164081077. The reversal of 9164081052 is 2501804619.

9164081052 is a `hidden beast` number, since 9 + 1 + 640 + 8 + 1 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9164080998 and 9164081016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433963 + ... + 454589.

It is an arithmetic number, because the mean of its divisors is an integer number (192720528).

Almost surely, 29164081052 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 9164081052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875878016).

9164081052 is an abundant number, since it is smaller than the sum of its proper divisors (18587674980).

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

9164081052 is a wasteful number, since it uses less digits than its factorization.

9164081052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20728 (or 20723 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9164081052 is about 95729.2068911051. The cubic root of 9164081052 is about 2092.6485999906.

The spelling of 9164081052 in words is "nine billion, one hundred sixty-four million, eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 43 63 82 84 86 123 126 129 164 172 246 252 258 287 301 369 387 492 516 574 602 738 774 861 903 1148 1204 1476 1548 1722 1763 1806 2583 2709 3444 3526 3612 5166 5289 5418 7052 10332 10578 10836 12341 15867 20627 21156 24682 31734 37023 41254 49364 61881 63468 74046 82508 111069 123762 144389 148092 185643 222138 247524 288778 371286 433167 444276 577556 742572 845707 866334 886961 1299501 1691414 1732668 1773922 2537121 2599002 2660883 3382828 3547844 5074242 5198004 5321766 5919949 6208727 7611363 7982649 10148484 10643532 11839898 12417454 15222726 15965298 17759847 18626181 23679796 24834908 30445452 31930596 35519694 36365401 37252362 53279541 55878543 71039388 72730802 74504724 106559082 109096203 111757086 145461604 213118164 218192406 223514172 254557807 327288609 436384812 509115614 654577218 763673421 1018231228 1309154436 1527346842 2291020263 3054693684 4582040526 9164081052