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8117369352 = 23322918612089
BaseRepresentation
bin1111000111101010…
…10011101000001000
3202221201021002101100
413203311103220020
5113111021304402
63421251221400
7405104333601
oct74365235010
922851232340
108117369352
113496052814
1216a65a7860
139c4958841
145700dada8
1532798171c
hex1e3d53a08

8117369352 has 96 divisors (see below), whose sum is σ = 22765743000. Its totient is φ = 2609832960.

The previous prime is 8117369347. The next prime is 8117369383. The reversal of 8117369352 is 2539637118.

It can be written as a sum of positive squares in 4 ways, for example, as 5971271076 + 2146098276 = 77274^2 + 46326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8117369298 and 8117369307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3884724 + ... + 3886812.

Almost surely, 28117369352 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 8117369352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11382871500).

8117369352 is an abundant number, since it is smaller than the sum of its proper divisors (14648373648).

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

8117369352 is a wasteful number, since it uses less digits than its factorization.

8117369352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3984 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 8117369352 is about 90096.4447245284. Note that the first 3 decimals coincide. The cubic root of 8117369352 is about 2009.7333335990.

The spelling of 8117369352 in words is "eight billion, one hundred seventeen million, three hundred sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1861 2088 2089 3722 4178 5583 6267 7444 8356 11166 12534 14888 16712 16749 18801 22332 25068 33498 37602 44664 50136 53969 60581 66996 75204 107938 121162 133992 150408 161907 181743 215876 242324 323814 363486 431752 484648 485721 545229 647628 726972 971442 1090458 1295256 1453944 1942884 2180916 3885768 3887629 4361832 7775258 11662887 15550516 23325774 31101032 34988661 46651548 69977322 93303096 112741241 139954644 225482482 279909288 338223723 450964964 676447446 901929928 1014671169 1352894892 2029342338 2705789784 4058684676 8117369352