Search a number
-
+
5332405435312 = 2419210724135801
BaseRepresentation
bin100110110011000110000…
…1000011011101110110000
3200212202212111120211110011
41031212030020123232300
51144331231242412222
615201401230344304
71060152656225344
oct115461410335660
920782774524404
105332405435312
111776507941a5a
1272155795b094
132c8ac7727867
141461385a9624
1593a94ca5c77
hex4d98c21bbb0

5332405435312 has 120 divisors (see below), whose sum is σ = 11051801581392. Its totient is φ = 2491817472000.

The previous prime is 5332405435283. The next prime is 5332405435333. The reversal of 5332405435312 is 2135345042335.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148927812 + ... + 148963612.

Almost surely, 25332405435312 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 5332405435312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525900790696).

5332405435312 is an abundant number, since it is smaller than the sum of its proper divisors (5719396146080).

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

5332405435312 is a wasteful number, since it uses less digits than its factorization.

5332405435312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36195 (or 36170 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 5332405435312 in words is "five trillion, three hundred thirty-two billion, four hundred five million, four hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 107 152 214 241 304 361 428 482 722 856 964 1444 1712 1928 2033 2888 3856 4066 4579 5776 8132 9158 16264 18316 25787 32528 35801 36632 38627 51574 71602 73264 77254 87001 103148 143204 154508 174002 206296 286408 309016 348004 412592 489953 572816 618032 680219 696008 979906 1360438 1392016 1959812 2720876 3830707 3919624 5441752 7661414 7839248 8628041 9309107 10883504 12924161 15322828 17256082 18618214 25848322 30645656 34512164 37236428 51696644 61291312 69024328 72783433 74472856 103393288 138048656 145566866 148945712 163932779 206786576 291133732 327865558 582267464 655731116 923200387 1164534928 1311462232 1382885227 1846400774 2622924464 2765770454 3114722801 3692801548 5531540908 6229445602 7385603096 11063081816 12458891204 14771206192 17540807353 22126163632 24917782408 35081614706 49835564816 70163229412 140326458824 280652917648 333275339707 666550679414 1333101358828 2666202717656 5332405435312