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13558493328 = 2431919317699
BaseRepresentation
bin11001010000010011…
…00011000010010000
31021222220200211021120
430220021203002100
5210231433241303
610121221322240
7656664202032
oct145011430220
937886624246
1013558493328
115828463796
122764866380
131380cc7023
149289c9c52
155454c1553
hex328263090

13558493328 has 80 divisors (see below), whose sum is σ = 36893472000. Its totient is φ = 4278856320.

The previous prime is 13558493317. The next prime is 13558493329. The reversal of 13558493328 is 82339485531.

It is not an unprimeable number, because it can be changed into a prime (13558493329) by changing a digit.

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, 1757223 + ... + 1764921.

It is an arithmetic number, because the mean of its divisors is an integer number (461168400).

Almost surely, 213558493328 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 13558493328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446736000).

13558493328 is an abundant number, since it is smaller than the sum of its proper divisors (23334978672).

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

13558493328 is a wasteful number, since it uses less digits than its factorization.

13558493328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660 (or 9654 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 13558493328 in words is "thirteen billion, five hundred fifty-eight million, four hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1931 3862 5793 7699 7724 11586 15398 15448 23097 23172 30796 30896 36689 46194 46344 61592 73378 92388 92688 110067 123184 146281 146756 184776 220134 292562 293512 369552 438843 440268 585124 587024 877686 880536 1170248 1755372 1761072 2340496 3510744 7021488 14866769 29733538 44600307 59467076 89200614 118934152 178401228 237868304 282468611 356802456 564937222 713604912 847405833 1129874444 1694811666 2259748888 3389623332 4519497776 6779246664 13558493328