Search a number
-
+
684000371780 = 2251133160115629
BaseRepresentation
bin10011111010000011001…
…10010110010001000100
32102101112011101001220222
421331001212112101010
542201313043344110
61242120405443512
7100263111142055
oct11750146262104
92371464331828
10684000371780
112440a0418160
12b0692410598
134c6687b3ccb
142516a42c72c
1512bd4636c55
hex9f41996444

684000371780 has 96 divisors (see below), whose sum is σ = 1574432657280. Its totient is φ = 247547520000.

The previous prime is 684000371759. The next prime is 684000371797. The reversal of 684000371780 is 87173000486.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 43757006 + ... + 43772634.

It is an arithmetic number, because the mean of its divisors is an integer number (16400340180).

Almost surely, 2684000371780 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 684000371780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787216328640).

684000371780 is an abundant number, since it is smaller than the sum of its proper divisors (890432285500).

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

684000371780 is a wasteful number, since it uses less digits than its factorization.

684000371780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16581 (or 16579 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 684000371780 in words is "six hundred eighty-four billion, three hundred seventy-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 601 662 1202 1324 1655 2404 3005 3310 3641 6010 6611 6620 7282 12020 13222 14564 15629 18205 26444 31258 33055 36410 62516 66110 72820 78145 132220 156290 171919 198931 312580 343838 397862 687676 795724 859595 994655 1719190 1989310 2188241 3438380 3978620 4376482 5173199 8752964 9393029 10346398 10941205 18786058 20692796 21882410 25865995 37572116 43764820 46965145 51731990 56905189 93930290 103323319 103463980 113810378 187860580 206646638 227620756 284525945 413293276 516616595 569051890 1033233190 1138103780 2066466380 3109092599 6218185198 12436370396 15545462995 31090925990 34200018589 62181851980 68400037178 136800074356 171000092945 342000185890 684000371780