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22096082136312 = 2333833051740387
BaseRepresentation
bin1010000011000101001010…
…01000000110110011111000
32220020100211221210121021000
411001202211020012303320
510344010234011330222
6114554444444445000
74440250341143232
oct501424510066370
986210757717230
1022096082136312
11704999435aa48
12258a451249760
13c438617639b2
145656556b9252
15284b8314e9ac
hex1418a5206cf8

22096082136312 has 128 divisors (see below), whose sum is σ = 62121073593600. Its totient is φ = 7276202815104.

The previous prime is 22096082136311. The next prime is 22096082136319. The reversal of 22096082136312 is 21363128069022.

22096082136312 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 6 + 0 + 8 + 2 + 1 + 3 + 631 + 2 = 666.

It is a super-2 number, since 2×220960821363122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22096082136311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547088583 + ... + 547128969.

It is an arithmetic number, because the mean of its divisors is an integer number (485320887450).

Almost surely, 222096082136312 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 22096082136312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31060536796800).

22096082136312 is an abundant number, since it is smaller than the sum of its proper divisors (40024991457288).

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

22096082136312 is a wasteful number, since it uses less digits than its factorization.

22096082136312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71002 (or 70992 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 22096082136312 in words is "twenty-two trillion, ninety-six billion, eighty-two million, one hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1992 2241 2988 4482 5976 8964 17928 30517 40387 61034 80774 91551 121161 122068 161548 183102 242322 244136 274653 323096 363483 366204 484644 549306 726966 732408 823959 969288 1090449 1098612 1453932 1647918 2180898 2197224 2532911 2907864 3295836 3352121 4361796 5065822 6591672 6704242 7598733 8723592 10056363 10131644 13408484 15197466 20112726 20263288 22796199 26816968 30169089 30394932 40225452 45592398 60338178 60789864 68388597 80450904 90507267 91184796 120676356 136777194 181014534 182369592 241352712 273554388 362029068 547108776 724058136 1232490079 2464980158 3697470237 4929960316 7394940474 9859920632 11092410711 14789880948 22184821422 29579761896 33277232133 44369642844 66554464266 88739285688 102296676557 133108928532 204593353114 266217857064 306890029671 409186706228 613780059342 818373412456 920670089013 1227560118684 1841340178026 2455120237368 2762010267039 3682680356052 5524020534078 7365360712104 11048041068156 22096082136312