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8820272272 = 247314161961
BaseRepresentation
bin10000011011011101…
…01010110010010000
3211202200220020220211
420031232222302100
5121030442203042
64015121013504
7431401035340
oct101556526220
924680806824
108820272272
1138168a5119
121861a84294
13aa7473326
145d95ccd20
15369529017
hex20dbaac90

8820272272 has 80 divisors (see below), whose sum is σ = 20652678144. Its totient is φ = 3568896000.

The previous prime is 8820272267. The next prime is 8820272297. The reversal of 8820272272 is 2722720288.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111372 + ... + 173332.

Almost surely, 28820272272 is an apocalyptic number.

8820272272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820272272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326339072).

8820272272 is an abundant number, since it is smaller than the sum of its proper divisors (11832405872).

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

8820272272 is a wasteful number, since it uses less digits than its factorization.

8820272272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62048 (or 62042 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 8820272272 is about 93916.3046121386. The cubic root of 8820272272 is about 2066.1443683717.

The spelling of 8820272272 in words is "eight billion, eight hundred twenty million, two hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 656 868 1148 1271 1736 2296 2542 3472 4592 5084 8897 10168 17794 20336 35588 61961 71176 123922 142352 247844 433727 495688 867454 991376 1734908 1920791 2540401 3469816 3841582 5080802 6939632 7683164 10161604 13445537 15366328 17782807 20323208 26891074 30732656 35565614 40646416 53782148 71131228 78752431 107564296 142262456 157504862 215128592 284524912 315009724 551267017 630019448 1102534034 1260038896 2205068068 4410136136 8820272272