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8668535148 = 223271319139267
BaseRepresentation
bin10000001001010111…
…10101100101101100
3211101010101012201100
420010223311211230
5120223121111043
63552100443100
7424546222140
oct100453654554
924333335640
108668535148
113749186839
12181b0a9490
13a81bb6850
145c33b1220
1535b054cd3
hex204af596c

8668535148 has 144 divisors (see below), whose sum is σ = 28388389120. Its totient is φ = 2165864832.

The previous prime is 8668535101. The next prime is 8668535149. The reversal of 8668535148 is 8415358668.

8668535148 is a `hidden beast` number, since 8 + 6 + 68 + 535 + 1 + 48 = 666.

It is a super-2 number, since 2×86685351482 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8668535094 and 8668535103.

It is not an unprimeable number, because it can be changed into a prime (8668535149) 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, 7390 + ... + 131877.

Almost surely, 28668535148 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 8668535148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194194560).

8668535148 is an abundant number, since it is smaller than the sum of its proper divisors (19719853972).

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

8668535148 is a wasteful number, since it uses less digits than its factorization.

8668535148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139316 (or 139311 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 8668535148 is about 93104.9684388540. The cubic root of 8668535148 is about 2054.2276544206.

The spelling of 8668535148 in words is "eight billion, six hundred sixty-eight million, five hundred thirty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 4446 4788 5187 6916 8892 10374 15561 20748 31122 62244 139267 278534 417801 557068 835602 974869 1253403 1671204 1810471 1949738 2506806 2646073 2924607 3620942 3899476 5013612 5292146 5431413 5849214 7241884 7938219 8773821 10584292 10862826 11698428 12673297 15876438 16294239 17547642 18522511 21725652 23814657 25346594 31752876 32588478 34398949 35095284 37045022 38019891 47629314 50693188 55567533 65176956 68797898 74090044 76039782 95258628 103196847 111135066 114059673 137595796 152079564 166702599 206393694 222270132 228119346 240792643 309590541 333405198 412787388 456238692 481585286 619181082 666810396 722377929 963170572 1238362164 1444755858 2167133787 2889511716 4334267574 8668535148