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86216273571736 = 237111671567534839
BaseRepresentation
bin10011100110100111001010…
…010111000010111110011000
3102022021012021100021100200201
4103212213022113002332120
542300031412013243421
6503211113112511544
724105630426504220
oct2346471227027630
9368235240240621
1086216273571736
1125520130861030
12980535b6ab5b4
13391520cb70b69
141740c65c8b080
159e7a3a879b91
hex4e69ca5c2f98

86216273571736 has 128 divisors (see below), whose sum is σ = 202881156710400. Its totient is φ = 33368243310720.

The previous prime is 86216273571731. The next prime is 86216273571781. The reversal of 86216273571736 is 63717537261268.

86216273571736 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86216273571731) 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, 160933005 + ... + 161467843.

It is an arithmetic number, because the mean of its divisors is an integer number (1585009036800).

Almost surely, 286216273571736 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 86216273571736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101440578355200).

86216273571736 is an abundant number, since it is smaller than the sum of its proper divisors (116664883138664).

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

86216273571736 is a wasteful number, since it uses less digits than its factorization.

86216273571736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536597 (or 536593 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 64.

The spelling of 86216273571736 in words is "eighty-six trillion, two hundred sixteen billion, two hundred seventy-three million, five hundred seventy-one thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 167 308 334 616 668 1169 1336 1567 1837 2338 3134 3674 4676 6268 7348 9352 10969 12536 12859 14696 17237 21938 25718 34474 43876 51436 68948 87752 102872 120659 137896 241318 261689 482636 523378 534839 965272 1046756 1069678 1831823 2093512 2139356 2878579 3663646 3743873 4278712 5757158 5883229 7327292 7487746 11514316 11766458 14654584 14975492 20150053 23028632 23532916 29950984 40300106 41182603 47065832 80600212 82365206 89318113 161200424 164730412 178636226 329460824 357272452 625226791 714544904 838092713 982499243 1250453582 1676185426 1964998486 2500907164 3352370852 3929996972 5001814328 5866648991 6704741704 6877494701 7859993944 9219019843 11733297982 13754989402 18438039686 23466595964 27509978804 36876079372 46933191928 55019957608 64533138901 73752158744 129066277802 139961483071 258132555604 279922966142 516265111208 559845932284 979730381497 1119691864568 1539576313781 1959460762994 3079152627562 3918921525988 6158305255124 7837843051976 10777034196467 12316610510248 21554068392934 43108136785868 86216273571736