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5530923648 = 2734701761
BaseRepresentation
bin1010010011010101…
…10011001010000000
3112021110102000220000
411021222303022000
542311404024043
62312454520000
7254030034555
oct51152631200
915243360800
105530923648
112389075888
1210a4366000
136a1b501b3
143a67c6a2c
1522587c2d3
hex149ab3280

5530923648 has 160 divisors (see below), whose sum is σ = 16505080020. Its totient is φ = 1838592000.

The previous prime is 5530923631. The next prime is 5530923649. The reversal of 5530923648 is 8463290355.

5530923648 is a `hidden beast` number, since 553 + 0 + 92 + 3 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5382863424 + 148060224 = 73368^2 + 12168^2 .

It is a super-2 number, since 2×55309236482 = 61182232800011255808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5530923649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7267588 + ... + 7268348.

Almost surely, 25530923648 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 5530923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252540010).

5530923648 is an abundant number, since it is smaller than the sum of its proper divisors (10974156372).

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

5530923648 is an equidigital number, since it uses as much as digits as its factorization.

5530923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5530923648 is about 74370.1798303594. The cubic root of 5530923648 is about 1768.4762064968.

The spelling of 5530923648 in words is "five billion, five hundred thirty million, nine hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 701 761 864 1152 1296 1402 1522 1728 2103 2283 2592 2804 3044 3456 4206 4566 5184 5608 6088 6309 6849 8412 9132 10368 11216 12176 12618 13698 16824 18264 18927 20547 22432 24352 25236 27396 33648 36528 37854 41094 44864 48704 50472 54792 56781 61641 67296 73056 75708 82188 89728 97408 100944 109584 113562 123282 134592 146112 151416 164376 201888 219168 227124 246564 269184 292224 302832 328752 403776 438336 454248 493128 533461 605664 657504 807552 876672 908496 986256 1066922 1211328 1315008 1600383 1816992 1972512 2133844 2422656 2630016 3200766 3633984 3945024 4267688 4801149 6401532 7267968 7890048 8535376 9602298 12803064 14403447 17070752 19204596 25606128 28806894 34141504 38409192 43210341 51212256 57613788 68283008 76818384 86420682 102424512 115227576 153636768 172841364 204849024 230455152 307273536 345682728 460910304 614547072 691365456 921820608 1382730912 1843641216 2765461824 5530923648