Search a number
-
+
18415306980 = 22325734994177
BaseRepresentation
bin10001001001101000…
…110100100011100100
31202112101122112002200
4101021220310203210
5300203304310410
612243155534500
71221230345430
oct211150644344
952471575080
1018415306980
11789aa62774
12369b2ba430
1319762a1165
14c69a579c0
1572ba923c0
hex449a348e4

18415306980 has 144 divisors (see below), whose sum is σ = 63873264000. Its totient is φ = 4207002624.

The previous prime is 18415306951. The next prime is 18415306999. The reversal of 18415306980 is 8960351481.

18415306980 is a `hidden beast` number, since 18 + 41 + 530 + 69 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4406652 + ... + 4410828.

Almost surely, 218415306980 is an apocalyptic number.

18415306980 is a gapful number since it is divisible by the number (10) 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 18415306980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31936632000).

18415306980 is an abundant number, since it is smaller than the sum of its proper divisors (45457957020).

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

18415306980 is a wasteful number, since it uses less digits than its factorization.

18415306980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18415306980 in words is "eighteen billion, four hundred fifteen million, three hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3499 4177 6998 8354 10497 12531 13996 16708 17495 20885 20994 24493 25062 29239 31491 34990 37593 41770 41988 48986 50124 52485 58478 62655 62982 69980 73479 75186 83540 87717 97972 104970 116956 122465 125310 125964 146195 146958 150372 157455 175434 187965 209940 220437 244930 250620 263151 292390 293916 314910 350868 367395 375930 438585 440874 489860 526302 584780 629820 734790 751860 877170 881748 1052604 1102185 1315755 1469580 1754340 2204370 2631510 4408740 5263020 14615323 29230646 43845969 58461292 73076615 87691938 102307261 131537907 146153230 175383876 204614522 219229845 263075814 292306460 306921783 409229044 438459690 511536305 526151628 613843566 657689535 876919380 920765349 1023072610 1227687132 1315379070 1534608915 1841530698 2046145220 2630758140 3069217830 3683061396 4603826745 6138435660 9207653490 18415306980