Search a number
-
+
180679111020 = 2232531289711177
BaseRepresentation
bin1010100001000101010…
…0000111000101101100
3122021100211121211102200
42220101110013011230
510430012323023040
6215000340221500
716024253050422
oct2502124070554
9567324554380
10180679111020
116a697714361
122b02509a890
131406554b9a5
148a60097112
154a77151630
hex2a1150716c

180679111020 has 144 divisors (see below), whose sum is σ = 565985242368. Its totient is φ = 46606602240.

The previous prime is 180679111009. The next prime is 180679111033. The reversal of 180679111020 is 20111976081.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16159672 + ... + 16170848.

It is an arithmetic number, because the mean of its divisors is an integer number (3930453072).

Almost surely, 2180679111020 is an apocalyptic number.

180679111020 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 180679111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282992621184).

180679111020 is an abundant number, since it is smaller than the sum of its proper divisors (385306131348).

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

180679111020 is a wasteful number, since it uses less digits than its factorization.

180679111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120 (or 14115 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 180679111020 in words is "one hundred eighty billion, six hundred seventy-nine million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 2897 5580 5794 8691 11177 11588 14485 17382 22354 26073 28970 33531 34764 43455 44708 52146 55885 57940 67062 86910 89807 100593 104292 111770 130365 134124 167655 173820 179614 201186 223540 260730 269421 335310 346487 359228 402372 449035 502965 521460 538842 670620 692974 808263 898070 1005930 1039461 1077684 1347105 1385948 1616526 1732435 1796140 2011860 2078922 2694210 3118383 3233052 3464870 4041315 4157844 5197305 5388420 6236766 6929740 8082630 10394610 12473532 15591915 16165260 20789220 31183830 32379769 62367660 64759538 97139307 129519076 161898845 194278614 291417921 323797690 388557228 485696535 582835842 647595380 971393070 1003772839 1165671684 1457089605 1942786140 2007545678 2914179210 3011318517 4015091356 5018864195 5828358420 6022637034 9033955551 10037728390 12045274068 15056592585 18067911102 20075456780 30113185170 36135822204 45169777755 60226370340 90339555510 180679111020