Search a number
-
+
71810457230640 = 24352574332688781
BaseRepresentation
bin10000010100111110101100…
…110010110101110100110000
3100102021000100020022021220210
4100110332230302311310300
533403020304022340030
6412421134005104120
721061064034132012
oct2024765462656460
9312230306267823
1071810457230640
112097670a014987
1280794209b8040
13310b90a59823b
1413a3904db81b2
15847e4c627bb0
hex414faccb5d30

71810457230640 has 160 divisors (see below), whose sum is σ = 223994813789376. Its totient is φ = 19030883696640.

The previous prime is 71810457230621. The next prime is 71810457230717. The reversal of 71810457230640 is 4603275401817.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 71810457230640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25363050 + ... + 28051830.

Almost surely, 271810457230640 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 71810457230640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111997406894688).

71810457230640 is an abundant number, since it is smaller than the sum of its proper divisors (152184356558736).

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

71810457230640 is a wasteful number, since it uses less digits than its factorization.

71810457230640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689487 (or 2689481 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 71810457230640 in words is "seventy-one trillion, eight hundred ten billion, four hundred fifty-seven million, two hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 433 514 771 866 1028 1285 1299 1542 1732 2056 2165 2570 2598 3084 3464 3855 4112 4330 5140 5196 6168 6495 6928 7710 8660 10280 10392 12336 12990 15420 17320 20560 20784 25980 30840 34640 51960 61680 103920 111281 222562 333843 445124 556405 667686 890248 1112810 1335372 1669215 1780496 2225620 2670744 2688781 3338430 4451240 5341488 5377562 6676860 8066343 8902480 10755124 13353720 13443905 16132686 21510248 26707440 26887810 32265372 40331715 43020496 53775620 64530744 80663430 107551240 129061488 161326860 215102480 322653720 645307440 691016717 1164242173 1382033434 2073050151 2328484346 2764066868 3455083585 3492726519 4146100302 4656968692 5528133736 5821210865 6910167170 6985453038 8292200604 9313937384 10365250755 11056267472 11642421730 13820334340 13970906076 16584401208 17463632595 18627874768 20730501510 23284843460 27640668680 27941812152 33168802416 34927265190 41461003020 46569686920 55281337360 55883624304 69854530380 82922006040 93139373840 139709060760 165844012080 279418121520 299210238461 598420476922 897630715383 1196840953844 1496051192305 1795261430766 2393681907688 2992102384610 3590522861532 4488153576915 4787363815376 5984204769220 7181045723064 8976307153830 11968409538440 14362091446128 17952614307660 23936819076880 35905228615320 71810457230640