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86225071776330 = 235411091231522449
BaseRepresentation
bin10011100110101111010110…
…110001100010001001001010
3102022022000222111122110110010
4103212233112301202021022
542300202421333320310
6503215130124532350
724106361442142404
oct2346572661421112
9368260874573403
1086225071776330
11255239361533a3
129806bb60b10b6
133915cb2888896
14174145c573b74
159e7da2e95320
hex4e6bd6c6224a

86225071776330 has 128 divisors (see below), whose sum is σ = 214106530176000. Its totient is φ = 22208637542400.

The previous prime is 86225071776299. The next prime is 86225071776331. The reversal of 86225071776330 is 3367717052268.

86225071776330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (86225071776331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164778946 + ... + 165301394.

It is an arithmetic number, because the mean of its divisors is an integer number (1672707267000).

Almost surely, 286225071776330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86225071776330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107053265088000).

86225071776330 is an abundant number, since it is smaller than the sum of its proper divisors (127881458399670).

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

86225071776330 is a wasteful number, since it uses less digits than its factorization.

86225071776330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523840.

The product of its (nonzero) digits is 17781120, while the sum is 57.

The spelling of 86225071776330 in words is "eighty-six trillion, two hundred twenty-five billion, seventy-one million, seven hundred seventy-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 109 123 205 218 246 327 410 545 615 654 1090 1230 1231 1635 2462 3270 3693 4469 6155 7386 8938 12310 13407 18465 22345 26814 36930 44690 50471 67035 100942 134070 134179 151413 252355 268358 302826 402537 504710 522449 670895 757065 805074 1044898 1341790 1514130 1567347 2012685 2612245 3134694 4025370 5224490 5501339 7836735 11002678 15673470 16504017 21420409 27506695 33008034 42840818 55013390 56946941 64261227 82520085 107102045 113893882 128522454 165040170 170840823 214204090 284734705 321306135 341681646 569469410 642612270 643134719 854204115 1286269438 1708408230 1929404157 2334824581 3215673595 3858808314 4669649162 6431347190 7004473743 9647020785 11674122905 14008947486 19294041570 23348245810 26368523479 35022368715 52737046958 70044737430 70101684371 79105570437 131842617395 140203368742 158211140874 210305053113 263685234790 350508421855 395527852185 420610106226 701016843710 791055704370 1051525265565 2103050531130 2874169059211 5748338118422 8622507177633 14370845296055 17245014355266 28741690592110 43112535888165 86225071776330