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185130371808 = 25325961178609
BaseRepresentation
bin1010110001101010100…
…0010100101011100000
3122200212001110022022100
42230122220110223200
511013121333344213
6221014150210400
716242463124214
oct2543250245340
9580761408270
10185130371808
11715712a5488
122ba67953a00
13145c47bbc05
148d63316944
154c37d13773
hex2b1aa14ae0

185130371808 has 144 divisors (see below), whose sum is σ = 544167514800. Its totient is φ = 59669360640.

The previous prime is 185130371779. The next prime is 185130371827. The reversal of 185130371808 is 808173031581.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947208 + ... + 1125816.

It is an arithmetic number, because the mean of its divisors is an integer number (3778941075).

Almost surely, 2185130371808 is an apocalyptic number.

185130371808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185130371808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272083757400).

185130371808 is an abundant number, since it is smaller than the sum of its proper divisors (359037142992).

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

185130371808 is a wasteful number, since it uses less digits than its factorization.

185130371808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178745 (or 178734 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 185130371808 in words is "one hundred eighty-five billion, one hundred thirty million, three hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 61 72 96 118 122 144 177 183 236 244 288 354 366 472 488 531 549 708 732 944 976 1062 1098 1416 1464 1888 1952 2124 2196 2832 2928 3599 4248 4392 5664 5856 7198 8496 8784 10797 14396 16992 17568 21594 28792 32391 43188 57584 64782 86376 115168 129564 172752 178609 259128 345504 357218 518256 535827 714436 1036512 1071654 1428872 1607481 2143308 2857744 3214962 4286616 5715488 6429924 8573232 10537931 10895149 12859848 17146464 21075862 21790298 25719696 31613793 32685447 42151724 43580596 51439392 63227586 65370894 84303448 87161192 94841379 98056341 126455172 130741788 168606896 174322384 189682758 196112682 252910344 261483576 337213792 348644768 379365516 392225364 505820688 522967152 642813791 758731032 784450728 1011641376 1045934304 1285627582 1517462064 1568901456 1928441373 2571255164 3034924128 3137802912 3856882746 5142510328 5785324119 7713765492 10285020656 11570648238 15427530984 20570041312 23141296476 30855061968 46282592952 61710123936 92565185904 185130371808