Search a number
-
+
71094495040 = 2651713795393
BaseRepresentation
bin100001000110110001…
…1111110011101000000
320210111200211112210221
41002031203332131000
52131100142320130
652354345432424
75064534144202
oct1021543763500
9223450745727
1071094495040
1128172a97428
121194149b714
13692011b75a
143626120772
151cb175a87a
hex108d8fe740

71094495040 has 112 divisors (see below), whose sum is σ = 180562526352. Its totient is φ = 26569342976.

The previous prime is 71094495011. The next prime is 71094495067. The reversal of 71094495040 is 4059449017.

It can be written as a sum of positive squares in 8 ways, for example, as 12835983616 + 58258511424 = 113296^2 + 241368^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697584 + ... + 792976.

Almost surely, 271094495040 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 71094495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90281263176).

71094495040 is an abundant number, since it is smaller than the sum of its proper divisors (109468031312).

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

71094495040 is a wasteful number, since it uses less digits than its factorization.

71094495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95564 (or 95554 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 71094495040 in words is "seventy-one billion, ninety-four million, four hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 137 160 170 272 274 320 340 544 548 680 685 1088 1096 1360 1370 2192 2329 2720 2740 4384 4658 5440 5480 8768 9316 10960 11645 18632 21920 23290 37264 43840 46580 74528 93160 95393 149056 186320 190786 372640 381572 476965 745280 763144 953930 1526288 1621681 1907860 3052576 3243362 3815720 6105152 6486724 7631440 8108405 12973448 13068841 15262880 16216810 25946896 26137682 30525760 32433620 51893792 52275364 64867240 65344205 103787584 104550728 129734480 130688410 209101456 222170297 259468960 261376820 418202912 444340594 518937920 522753640 836405824 888681188 1045507280 1110851485 1777362376 2091014560 2221702970 3554724752 4182029120 4443405940 7109449504 8886811880 14218899008 17773623760 35547247520 71094495040