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22164530016078 = 234898147188693
BaseRepresentation
bin1010000101000100101001…
…11100000010111101001110
32220110220112012120011110000
411002202110330002331032
510401120424141003303
6115050124452225130
74445222500420062
oct502422474027516
986426465504400
1022164530016078
117075a1940311a
12259b77430b1a6
13c4a14c46a8b8
14568aaa101aa2
1528683c36cda3
hex142894f02f4e

22164530016078 has 80 divisors (see below), whose sum is σ = 50229429521040. Its totient is φ = 7304228072064.

The previous prime is 22164530016077. The next prime is 22164530016113. The reversal of 22164530016078 is 87061003546122.

22164530016078 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 4 + 5 + 30 + 0 + 1 + 607 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22164530016073) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117369100 + ... + 117557792.

It is an arithmetic number, because the mean of its divisors is an integer number (627867869013).

Almost surely, 222164530016078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22164530016078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25114714760520).

22164530016078 is an abundant number, since it is smaller than the sum of its proper divisors (28064899504962).

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

22164530016078 is a wasteful number, since it uses less digits than its factorization.

22164530016078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196943 (or 196934 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 22164530016078 in words is "twenty-two trillion, one hundred sixty-four billion, five hundred thirty million, sixteen thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1602 2403 4806 7209 8147 14418 16294 24441 48882 73323 146646 188693 219969 377386 439938 566079 659907 725083 1132158 1319814 1450166 1698237 2175249 3396474 4350498 5094711 6525747 10189422 13051494 15284133 16793677 19577241 30568266 33587354 39154482 50381031 58731723 100762062 117463446 151143093 302286186 453429279 906858558 1360287837 1537281871 2720575674 3074563742 4611845613 9223691226 13835536839 27671073678 41506610517 83013221034 124519831551 136818086519 249039663102 273636173038 410454259557 820908519114 1231362778671 2462725557342 3694088336013 7388176672026 11082265008039 22164530016078