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86226770881 = 17319261797
BaseRepresentation
bin101000001001110000…
…1000001101111000001
322020120021212210211201
41100103201001233001
52403043023132011
6103340110541201
76141531313366
oct1202341015701
9266507783751
1086226770881
1133628845219
1214865207801
13819219c124
14425db3846d
152399e9ccc1
hex1413841bc1

86226770881 has 48 divisors (see below), whose sum is σ = 98398858320. Its totient is φ = 75528046080.

The previous prime is 86226770837. The next prime is 86226770891. The reversal of 86226770881 is 18807762268.

It can be written as a sum of positive squares in 8 ways, for example, as 5661057600 + 80565713281 = 75240^2 + 283841^2 .

It is not a de Polignac number, because 86226770881 - 27 = 86226770753 is a prime.

It is a super-2 number, since 2×862267708812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86226770821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108188775 + ... + 108189571.

It is an arithmetic number, because the mean of its divisors is an integer number (2049976215).

Almost surely, 286226770881 is an apocalyptic number.

It is an amenable number.

86226770881 is a deficient number, since it is larger than the sum of its proper divisors (12172087439).

86226770881 is an equidigital number, since it uses as much as digits as its factorization.

86226770881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 55.

The spelling of 86226770881 in words is "eighty-six billion, two hundred twenty-six million, seven hundred seventy thousand, eight hundred eighty-one".

Divisors: 1 17 19 61 289 323 361 797 1037 1159 4913 5491 6137 13549 15143 17629 19703 22021 48617 93347 104329 230333 257431 287717 299693 334951 374357 826489 923723 1773593 3915661 4376327 4891189 5694167 6364069 14050313 15703291 17550737 74397559 83150213 108189173 238855321 266955947 298362529 1413553621 4538251099 5072162993 86226770881