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8625252672 = 263271210907
BaseRepresentation
bin10000000100001101…
…01110100101000000
3211021002221020022200
420002012232211000
5120131031041142
63543513033200
7423512303151
oct100206564500
924232836280
108625252672
113726803aa3
1218086b5800
13a75c40c0a
145bb745928
1535735564c
hex2021ae940

8625252672 has 84 divisors (see below), whose sum is σ = 25071055776. Its totient is φ = 2834576640.

The previous prime is 8625252661. The next prime is 8625252677. The reversal of 8625252672 is 2762525268.

8625252672 is a `hidden beast` number, since 8 + 6 + 2 + 52 + 526 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8625252677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64558 + ... + 146349.

Almost surely, 28625252672 is an apocalyptic number.

It is an amenable number.

8625252672 is an abundant number, since it is smaller than the sum of its proper divisors (16445803104).

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

8625252672 is a wasteful number, since it uses less digits than its factorization.

8625252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210996 (or 210983 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 8625252672 is about 92872.2384353904. The cubic root of 8625252672 is about 2050.8029907593.

The spelling of 8625252672 in words is "eight billion, six hundred twenty-five million, two hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 6816 10224 13632 20448 40896 210907 421814 632721 843628 1265442 1687256 1898163 2530884 3374512 3796326 5061768 6749024 7592652 10123536 13498048 14974397 15185304 20247072 29948794 30370608 40494144 44923191 59897588 60741216 89846382 119795176 121482432 134769573 179692764 239590352 269539146 359385528 479180704 539078292 718771056 958361408 1078156584 1437542112 2156313168 2875084224 4312626336 8625252672