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5525352576 = 27338771823
BaseRepresentation
bin1010010010101011…
…00011000010000000
3112021001220222211000
411021111203002000
542303442240301
62312135252000
7253631502432
oct51125430200
915231828730
105525352576
112385a10197
1210a251a000
136a094c4c3
143a5b76652
1522512b786
hex149563080

5525352576 has 128 divisors (see below), whose sum is σ = 16335014400. Its totient is φ = 1838674944.

The previous prime is 5525352493. The next prime is 5525352671. The reversal of 5525352576 is 6752535255.

5525352576 is a `hidden beast` number, since 5 + 5 + 2 + 53 + 525 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 3030001 + ... + 3031823.

It is an arithmetic number, because the mean of its divisors is an integer number (127617300).

Almost surely, 25525352576 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 5525352576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167507200).

5525352576 is an abundant number, since it is smaller than the sum of its proper divisors (10809661824).

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

5525352576 is a wasteful number, since it uses less digits than its factorization.

5525352576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2705 counting only the distinct ones).

The product of its digits is 1575000, while the sum is 45.

The square root of 5525352576 is about 74332.7153815869. The cubic root of 5525352576 is about 1767.8822358994.

The spelling of 5525352576 in words is "five billion, five hundred twenty-five million, three hundred fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 877 1152 1728 1754 1823 2631 3456 3508 3646 5262 5469 7016 7292 7893 10524 10938 14032 14584 15786 16407 21048 21876 23679 28064 29168 31572 32814 42096 43752 47358 49221 56128 58336 63144 65628 84192 87504 94716 98442 112256 116672 126288 131256 168384 175008 189432 196884 233344 252576 262512 336768 350016 378864 393768 505152 525024 700032 757728 787536 1010304 1050048 1515456 1575072 1598771 2100096 3030912 3150144 3197542 4796313 6300288 6395084 9592626 12790168 14388939 19185252 25580336 28777878 38370504 43166817 51160672 57555756 76741008 86333634 102321344 115111512 153482016 172667268 204642688 230223024 306964032 345334536 460446048 613928064 690669072 920892096 1381338144 1841784192 2762676288 5525352576