Search a number
-
+
71954349240 = 23353167728571
BaseRepresentation
bin100001100000011010…
…0000011110010111000
320212201121210200000210
41003000310003302320
52134330303133430
653015543231120
75125044606564
oct1030064036270
9225647720023
1071954349240
1128574399634
1211b414484a0
136a292ca117
1436a83ca6a4
151d11ea72b0
hex10c0d03cb8

71954349240 has 128 divisors (see below), whose sum is σ = 223163320320. Its totient is φ = 18540787200.

The previous prime is 71954349223. The next prime is 71954349251. The reversal of 71954349240 is 4294345917.

It is a self number, because there is not a number n which added to its sum of digits gives 71954349240.

It is a congruent number.

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, 2504155 + ... + 2532725.

It is an arithmetic number, because the mean of its divisors is an integer number (1743463440).

Almost surely, 271954349240 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 71954349240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111581660160).

71954349240 is an abundant number, since it is smaller than the sum of its proper divisors (151208971080).

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

71954349240 is a wasteful number, since it uses less digits than its factorization.

71954349240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29293 (or 29289 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 71954349240 in words is "seventy-one billion, nine hundred fifty-four million, three hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 677 744 930 1240 1354 1860 2031 2708 3385 3720 4062 5416 6770 8124 10155 13540 16248 20310 20987 27080 28571 40620 41974 57142 62961 81240 83948 85713 104935 114284 125922 142855 167896 171426 209870 228568 251844 285710 314805 342852 419740 428565 503688 571420 629610 685704 839480 857130 885701 1142840 1259220 1714260 1771402 2518440 2657103 3428520 3542804 4428505 5314206 7085608 8857010 10628412 13285515 17714020 19342567 21256824 26571030 35428040 38685134 53142060 58027701 77370268 96712835 106284120 116055402 154740536 193425670 232110804 290138505 386851340 464221608 580277010 599619577 773702680 1160554020 1199239154 1798858731 2321108040 2398478308 2998097885 3597717462 4796956616 5996195770 7195434924 8994293655 11992391540 14390869848 17988587310 23984783080 35977174620 71954349240