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8809293672 = 2334109124721
BaseRepresentation
bin10000011010001001…
…10010011101101000
3211201221020111010000
420031010302131220
5121020134344142
64014045423000
7431205521634
oct101504623550
924657214100
108809293672
1138106867a3
12185a26aa60
13aa50cb20a
145d7d71dc4
153685ab14c
hex20d132768

8809293672 has 80 divisors (see below), whose sum is σ = 24900747300. Its totient is φ = 2909468160.

The previous prime is 8809293667. The next prime is 8809293697. The reversal of 8809293672 is 2763929088.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8272630116 + 536663556 = 90954^2 + 23166^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8272 + ... + 132992.

Almost surely, 28809293672 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 8809293672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450373650).

8809293672 is an abundant number, since it is smaller than the sum of its proper divisors (16091453628).

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

8809293672 is a wasteful number, since it uses less digits than its factorization.

8809293672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124848 (or 124835 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8809293672 is about 93857.8375629867. The cubic root of 8809293672 is about 2065.2867686018.

The spelling of 8809293672 in words is "eight billion, eight hundred nine million, two hundred ninety-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2616 2943 3924 5886 7848 8829 11772 17658 23544 35316 70632 124721 249442 374163 498884 748326 997768 1122489 1496652 2244978 2993304 3367467 4489956 6734934 8979912 10102401 13469868 13594589 20204802 26939736 27189178 40409604 40783767 54378356 80819208 81567534 108756712 122351301 163135068 244702602 326270136 367053903 489405204 734107806 978810408 1101161709 1468215612 2202323418 2936431224 4404646836 8809293672