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8643907448 = 2311176786239
BaseRepresentation
bin10000000110011011…
…11000111101111000
3211022102000222212022
420003031320331320
5120200320014243
63545420534012
7424130000231
oct100315707570
924272028768
108643907448
113736295670
1218129b1308
13a79a72c47
145c0000088
15358cdcb68
hex203378f78

8643907448 has 64 divisors (see below), whose sum is σ = 19000396800. Its totient is φ = 3642693120.

The previous prime is 8643907439. The next prime is 8643907453. The reversal of 8643907448 is 8447093468.

8643907448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8643907448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57113 + ... + 143351.

It is an arithmetic number, because the mean of its divisors is an integer number (296881200).

Almost surely, 28643907448 is an apocalyptic number.

8643907448 is a gapful number since it is divisible by the number (88) 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 8643907448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500198400).

8643907448 is an abundant number, since it is smaller than the sum of its proper divisors (10356489352).

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

8643907448 is a wasteful number, since it uses less digits than its factorization.

8643907448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86340 (or 86336 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The square root of 8643907448 is about 92972.6166567339. The cubic root of 8643907448 is about 2052.2804246734.

The spelling of 8643907448 in words is "eight billion, six hundred forty-three million, nine hundred seven thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 67 68 88 134 136 187 268 374 536 737 748 1139 1474 1496 2278 2948 4556 5896 9112 12529 25058 50116 86239 100232 172478 344956 689912 948629 1466063 1897258 2932126 3794516 5778013 5864252 7589032 11556026 11728504 16126693 23112052 32253386 46224104 63558143 64506772 98226221 127116286 129013544 196452442 254232572 392904884 508465144 785809768 1080488431 2160976862 4321953724 8643907448