Search a number
-
+
102528405848 = 231123210321383
BaseRepresentation
bin101111101111100101…
…0110101000101011000
3100210122101021200000202
41133133022311011120
53134434232441343
6115033443321332
710256515033061
oct1373712650530
9323571250022
10102528405848
113a533680910
1217a54680248
13988c5a638b
144d68b87568
152a011c6db8
hex17df2b5158

102528405848 has 96 divisors (see below), whose sum is σ = 221370589440. Its totient is φ = 44142711360.

The previous prime is 102528405839. The next prime is 102528405887. The reversal of 102528405848 is 848504825201.

It is a super-3 number, since 3×1025284058483 (a number of 34 digits) contains 333 as substring.

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, 4784165 + ... + 4805547.

It is an arithmetic number, because the mean of its divisors is an integer number (2305943640).

Almost surely, 2102528405848 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 102528405848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110685294720).

102528405848 is an abundant number, since it is smaller than the sum of its proper divisors (118842183592).

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

102528405848 is a wasteful number, since it uses less digits than its factorization.

102528405848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21549 (or 21522 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 47.

The spelling of 102528405848 in words is "one hundred two billion, five hundred twenty-eight million, four hundred five thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 103 184 206 253 412 506 529 824 1012 1058 1133 2024 2116 2266 2369 4232 4532 4738 5819 9064 9476 11638 18952 21383 23276 26059 42766 46552 52118 54487 85532 104236 108974 171064 208472 217948 235213 435896 470426 491809 599357 940852 983618 1198714 1881704 1967236 2202449 2397428 3934472 4404898 4794856 5409899 8809796 10819798 11311607 17619592 21639596 22623214 24226939 43279192 45246428 48453878 50656327 90492856 96907756 101312654 124427677 193815512 202625308 248855354 405250616 497710708 557219597 995421416 1114439194 1165095521 2228878388 2330191042 4457756776 4660382084 9320764168 12816050731 25632101462 51264202924 102528405848