Search a number
-
+
34832702650740 = 22351377875384441
BaseRepresentation
bin1111110101110000111101…
…10111100011100101110100
311120022222021221022222121120
413322320132313203211310
514031144333334310430
6202025531144543540
710223402562216411
oct772703667434564
9146288257288546
1034832702650740
111010a5146179a5
123aa6989781bb0
13165892c480557
14885ca9dbd108
1540612a0aa610
hex1fae1ede3974

34832702650740 has 96 divisors (see below), whose sum is σ = 98368327822464. Its totient is φ = 9209201571840.

The previous prime is 34832702650723. The next prime is 34832702650751. The reversal of 34832702650740 is 4705620723843.

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, 3776920 + ... + 9161360.

It is an arithmetic number, because the mean of its divisors is an integer number (1024670081484).

Almost surely, 234832702650740 is an apocalyptic number.

34832702650740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34832702650740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49184163911232).

34832702650740 is an abundant number, since it is smaller than the sum of its proper divisors (63535625171724).

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

34832702650740 is a wasteful number, since it uses less digits than its factorization.

34832702650740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385377 (or 5385375 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 34832702650740 in words is "thirty-four trillion, eight hundred thirty-two billion, seven hundred two million, six hundred fifty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 787 822 1370 1574 1644 2055 2361 2740 3148 3935 4110 4722 7870 8220 9444 11805 15740 23610 47220 107819 215638 323457 431276 539095 646914 1078190 1293828 1617285 2156380 3234570 5384441 6469140 10768882 16153323 21537764 26922205 32306646 53844410 64613292 80766615 107688820 161533230 323066460 737668417 1475336834 2213005251 2950673668 3688342085 4237555067 4426010502 7376684170 8475110134 8852021004 11065026255 12712665201 14753368340 16950220268 21187775335 22130052510 25425330402 42375550670 44260105020 50850660804 63563326005 84751101340 127126652010 254253304020 580545044179 1161090088358 1741635132537 2322180176716 2902725220895 3483270265074 5805450441790 6966540530148 8708175662685 11610900883580 17416351325370 34832702650740