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86387449122 = 232132734
BaseRepresentation
bin101000001110100010…
…1111101110100100010
322020222111020002221200
41100131011331310202
52403410141332442
6103404050502030
76145522126152
oct1203505756442
9266874202850
1086387449122
1133700510157
12148aab94916
1381b9569500
144277202762
1523a913b34c
hex141d17dd22

86387449122 has 90 divisors (see below), whose sum is σ = 205493221557. Its totient is φ = 26216633664.

The previous prime is 86387449121. The next prime is 86387449139. The reversal of 86387449122 is 22194478368.

86387449122 is a `hidden beast` number, since 8 + 63 + 8 + 74 + 491 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5492143881 + 80895305241 = 74109^2 + 284421^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=207831.

It is a super-2 number, since 2×863874491222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86387449121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1183389678 + ... + 1183389750.

Almost surely, 286387449122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86387449122

86387449122 is an abundant number, since it is smaller than the sum of its proper divisors (119105772435).

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

86387449122 is an frugal number, since it uses more digits than its factorization.

86387449122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 91 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 86387449122 in words is "eighty-six billion, three hundred eighty-seven million, four hundred forty-nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 169 219 234 338 438 507 657 949 1014 1314 1521 1898 2847 3042 5329 5694 8541 10658 12337 15987 17082 24674 31974 37011 47961 69277 74022 95922 111033 138554 207831 222066 389017 415662 623493 778034 900601 1167051 1246986 1801202 2334102 2701803 3501153 5057221 5403606 7002306 8105409 10114442 15171663 16210818 28398241 30343326 45514989 56796482 65743873 85194723 91029978 131487746 170389446 197231619 255584169 369177133 394463238 511168338 591694857 738354266 1107531399 1183389714 2215062798 3322594197 4799302729 6645188394 9598605458 14397908187 28795816374 43193724561 86387449122