Search a number
-
+
74142220680 = 233251118722783
BaseRepresentation
bin100010100001100111…
…0001000000110001000
321002101002200001102100
41011003032020012020
52203320402030210
654021021033400
75233212322533
oct1050316100610
9232332601370
1074142220680
1129497394850
12124520b5860
136cb76730c8
143834bcba1a
151dde0ca5c0
hex1143388188

74142220680 has 96 divisors (see below), whose sum is σ = 262867887360. Its totient is φ = 17973870720.

The previous prime is 74142220643. The next prime is 74142220681. The reversal of 74142220680 is 8602224147.

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

It is not an unprimeable number, because it can be changed into a prime (74142220681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9357432 + ... + 9365351.

It is an arithmetic number, because the mean of its divisors is an integer number (2738207160).

Almost surely, 274142220680 is an apocalyptic number.

It is an amenable number.

74142220680 is an abundant number, since it is smaller than the sum of its proper divisors (188725666680).

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

74142220680 is a wasteful number, since it uses less digits than its factorization.

74142220680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18722811 (or 18722804 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 74142220680 in words is "seventy-four billion, one hundred forty-two million, two hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 18722783 37445566 56168349 74891132 93613915 112336698 149782264 168505047 187227830 205950613 224673396 280841745 337010094 374455660 411901226 449346792 561683490 617851839 674020188 748911320 823802452 842525235 1029753065 1123366980 1235703678 1348040376 1647604904 1685050470 1853555517 2059506130 2246733960 2471407356 3089259195 3370100940 3707111034 4119012260 4942814712 6178518390 6740201880 7414222068 8238024520 9267777585 12357036780 14828444136 18535555170 24714073560 37071110340 74142220680