Search a number
-
+
130568620560 = 24357253130707
BaseRepresentation
bin111100110011001111…
…1110000101000010000
3110111000112220011101120
41321212133300220100
54114401031324220
6135552110402240
712301416651150
oct1714637605020
9414015804346
10130568620560
1150412645184
122137b200380
13c40a9345c1
146468c04760
1535e2c33a40
hex1e667f0a10

130568620560 has 160 divisors (see below), whose sum is σ = 462783808512. Its totient is φ = 29831493120.

The previous prime is 130568620487. The next prime is 130568620591. The reversal of 130568620560 is 65026865031.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4236727 + ... + 4267433.

Almost surely, 2130568620560 is an apocalyptic number.

130568620560 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 130568620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231391904256).

130568620560 is an abundant number, since it is smaller than the sum of its proper divisors (332215187952).

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

130568620560 is a wasteful number, since it uses less digits than its factorization.

130568620560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33261 (or 33255 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 130568620560 in words is "one hundred thirty billion, five hundred sixty-eight million, six hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2531 5062 7593 10124 12655 15186 17717 20248 25310 30372 30707 35434 37965 40496 50620 53151 60744 61414 70868 75930 88585 92121 101240 106302 121488 122828 141736 151860 153535 177170 184242 202480 212604 214949 245656 265755 283472 303720 307070 354340 368484 425208 429898 460605 491312 531510 607440 614140 644847 708680 736968 850416 859796 921210 1063020 1074745 1228280 1289694 1417360 1473936 1719592 1842420 2126040 2149490 2456560 2579388 3224235 3439184 3684840 4252080 4298980 5158776 6448470 7369680 8597960 10317552 12896940 17195920 25793880 51587760 77719417 155438834 233158251 310877668 388597085 466316502 544035919 621755336 777194170 932633004 1088071838 1165791255 1243510672 1554388340 1632107757 1865266008 2176143676 2331582510 2720179595 3108776680 3264215514 3730532016 4352287352 4663165020 5440359190 6217553360 6528431028 8160538785 8704574704 9326330040 10880718380 13056862056 16321077570 18652660080 21761436760 26113724112 32642155140 43522873520 65284310280 130568620560