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87326388964368 = 2433821626339313
BaseRepresentation
bin10011110110110001000010…
…011001001100110000010000
3102110012022200012020022111000
4103312301002121030300100
542421223421033324433
6505421104514222000
724252060216605331
oct2366610231146020
9373168605208430
1087326388964368
1125908a05a81244
129964532b84900
133995ac6509358
14177c896954288
15a1685e3ce113
hex4f6c4264cc10

87326388964368 has 160 divisors (see below), whose sum is σ = 251010844634880. Its totient is φ = 29067959531520.

The previous prime is 87326388964327. The next prime is 87326388964369. The reversal of 87326388964368 is 86346988362378.

87326388964368 is a `hidden beast` number, since 8 + 7 + 32 + 63 + 8 + 8 + 96 + 436 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (87326388964369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221291080 + ... + 2221330392.

It is an arithmetic number, because the mean of its divisors is an integer number (1568817778968).

Almost surely, 287326388964368 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 87326388964368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125505422317440).

87326388964368 is an abundant number, since it is smaller than the sum of its proper divisors (163684455670512).

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

87326388964368 is a wasteful number, since it uses less digits than its factorization.

87326388964368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46414 (or 46402 counting only the distinct ones).

The product of its digits is 12039487488, while the sum is 81.

The spelling of 87326388964368 in words is "eighty-seven trillion, three hundred twenty-six billion, three hundred eighty-eight million, nine hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 821 1642 2463 3284 4926 6263 6568 7389 9852 12526 13136 14778 18789 19704 22167 25052 29556 37578 39313 39408 44334 50104 56367 59112 75156 78626 88668 100208 112734 117939 118224 150312 157252 169101 177336 225468 235878 300624 314504 338202 353817 354672 450936 471756 629008 676404 707634 901872 943512 1061451 1352808 1415268 1887024 2122902 2705616 2830536 4245804 5141923 5661072 8491608 10283846 15425769 16983216 20567692 30851538 32275973 41135384 46277307 61703076 64551946 82270768 92554614 96827919 123406152 129103892 138831921 185109228 193655838 246217319 246812304 258207784 277663842 290483757 370218456 387311676 492434638 516415568 555327684 580967514 738651957 740436912 774623352 871451271 984869276 1110655368 1161935028 1477303914 1549246704 1742902542 1969738552 2215955871 2221310736 2323870056 2954607828 3485805084 3939477104 4431911742 4647740112 5909215656 6647867613 6971610168 8863823484 11818431312 13295735226 13943220336 17727646968 26591470452 35455293936 53182940904 106365881808 202144418899 404288837798 606433256697 808577675596 1212866513394 1617155351192 1819299770091 2425733026788 3234310702384 3638599540182 4851466053576 5457899310273 7277199080364 9702932107152 10915798620546 14554398160728 21831597241092 29108796321456 43663194482184 87326388964368