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5653585872 = 24321135310111
BaseRepresentation
bin1010100001111101…
…01101111111010000
3112121000012220211100
411100332231333100
543034304221442
62332555544400
7260046454434
oct52076557720
915530186740
105653585872
112441335820
12111945b100
136c1399aac
143b8bd69c4
1523150b84c
hex150fadfd0

5653585872 has 120 divisors (see below), whose sum is σ = 17311177728. Its totient is φ = 1708185600.

The previous prime is 5653585837. The next prime is 5653585879. The reversal of 5653585872 is 2785853565.

It is a happy number.

5653585872 is a `hidden beast` number, since 5 + 6 + 5 + 3 + 58 + 587 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5653585879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554097 + ... + 564207.

Almost surely, 25653585872 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 5653585872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655588864).

5653585872 is an abundant number, since it is smaller than the sum of its proper divisors (11657591856).

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

5653585872 is a wasteful number, since it uses less digits than its factorization.

5653585872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489 (or 10480 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The square root of 5653585872 is about 75190.3309741352. The cubic root of 5653585872 is about 1781.4542120368.

The spelling of 5653585872 in words is "five billion, six hundred fifty-three million, five hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 353 396 528 706 792 1059 1412 1584 2118 2824 3177 3883 4236 5648 6354 7766 8472 10111 11649 12708 15532 16944 20222 23298 25416 30333 31064 34947 40444 46596 50832 60666 62128 69894 80888 90999 93192 111221 121332 139788 161776 181998 186384 222442 242664 279576 333663 363996 444884 485328 559152 667326 727992 889768 1000989 1334652 1455984 1779536 2001978 2669304 3569183 4003956 5338608 7138366 8007912 10707549 14276732 16015824 21415098 28553464 32122647 39261013 42830196 57106928 64245294 78522026 85660392 117783039 128490588 157044052 171320784 235566078 256981176 314088104 353349117 471132156 513962352 628176208 706698234 942264312 1413396468 1884528624 2826792936 5653585872