Search a number
-
+
84184252530 = 2357276974471
BaseRepresentation
bin100111001100111000…
…1011100000001110010
322001021221112010101220
41032121301130001302
52334402132040110
6102401304405510
76040110224400
oct1163161340162
9261257463356
1084184252530
113277a8a7a24
1214395176896
137c27c88ba1
144108772470
1522ca9dc370
hex1399c5c072

84184252530 has 96 divisors (see below), whose sum is σ = 235337477760. Its totient is φ = 19216834560.

The previous prime is 84184252463. The next prime is 84184252543. The reversal of 84184252530 is 3525248148.

It is a super-2 number, since 2×841842525302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093195 + ... + 1167665.

It is an arithmetic number, because the mean of its divisors is an integer number (2451432060).

Almost surely, 284184252530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84184252530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117668738880).

84184252530 is an abundant number, since it is smaller than the sum of its proper divisors (151153225230).

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

84184252530 is a wasteful number, since it uses less digits than its factorization.

84184252530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75264 (or 75257 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 84184252530 in words is "eighty-four billion, one hundred eighty-four million, two hundred fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 769 1470 1538 2307 3845 4614 5383 7690 10766 11535 16149 23070 26915 32298 37681 53830 74471 75362 80745 113043 148942 161490 188405 223413 226086 372355 376810 446826 521297 565215 744710 1042594 1117065 1130430 1563891 2234130 2606485 3127782 3649079 5212970 7298158 7819455 10947237 15638910 18245395 21894474 36490790 54736185 57268199 109472370 114536398 171804597 286340995 343609194 400877393 572681990 801754786 859022985 1202632179 1718045970 2004386965 2405264358 2806141751 4008773930 5612283502 6013160895 8418425253 12026321790 14030708755 16836850506 28061417510 42092126265 84184252530