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1148436864 = 27328831129
BaseRepresentation
bin100010001110011…
…1100000110000000
32222000222122012200
41010130330012000
54322444434424
6305542553200
740313360301
oct10434740600
92860878180
101148436864
1153a298683
12280738800
13153c0c753
14ac74a7a8
156ac528c9
hex4473c180

1148436864 has 96 divisors (see below), whose sum is σ = 3311419800. Its totient is φ = 382040064.

The previous prime is 1148436847. The next prime is 1148436889. The reversal of 1148436864 is 4686348411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 1016652 + ... + 1017780.

Almost surely, 21148436864 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 1148436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655709900).

1148436864 is an abundant number, since it is smaller than the sum of its proper divisors (2162982936).

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

1148436864 is a wasteful number, since it uses less digits than its factorization.

1148436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2017 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1148436864 is about 33888.5948956282. The cubic root of 1148436864 is about 1047.2146477155.

The spelling of 1148436864 in words is "one billion, one hundred forty-eight million, four hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 883 1129 1152 1766 2258 2649 3387 3532 4516 5298 6774 7064 7947 9032 10161 10596 13548 14128 15894 18064 20322 21192 27096 28256 31788 36128 40644 42384 54192 56512 63576 72256 81288 84768 108384 113024 127152 144512 162576 169536 216768 254304 325152 339072 433536 508608 650304 996907 1017216 1300608 1993814 2990721 3987628 5981442 7975256 8972163 11962884 15950512 17944326 23925768 31901024 35888652 47851536 63802048 71777304 95703072 127604096 143554608 191406144 287109216 382812288 574218432 1148436864