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42640543516220 = 225132173720056511
BaseRepresentation
bin10011011001000000001100…
…11100110000011000111100
312120222101200210101221100122
421230200012130300120330
521042110313120004340
6230404443435514112
711660451263436026
oct1154400634603074
9176871623357318
1042640543516220
111264a8311a6251
1249480338b8938
131aa3ca831bb00
14a75b55a5d016
154de2a2110db5
hex26c80673063c

42640543516220 has 144 divisors (see below), whose sum is σ = 105441576242688. Its totient is φ = 14417582100480.

The previous prime is 42640543516217. The next prime is 42640543516397. The reversal of 42640543516220 is 2261534504624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7902236 + ... + 12154275.

It is an arithmetic number, because the mean of its divisors is an integer number (732233168352).

Almost surely, 242640543516220 is an apocalyptic number.

It is an amenable number.

42640543516220 is an abundant number, since it is smaller than the sum of its proper divisors (62801032726468).

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

42640543516220 is a wasteful number, since it uses less digits than its factorization.

42640543516220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20056600 (or 20056585 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 42640543516220 in words is "forty-two trillion, six hundred forty billion, five hundred forty-three million, five hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 37 52 65 68 74 85 130 148 169 170 185 221 260 338 340 370 442 481 629 676 740 845 884 962 1105 1258 1690 1924 2210 2405 2516 2873 3145 3380 4420 4810 5746 6253 6290 8177 9620 11492 12506 12580 14365 16354 25012 28730 31265 32708 40885 57460 62530 81770 106301 125060 163540 212602 425204 531505 1063010 2126020 20056511 40113022 80226044 100282555 200565110 260734643 340960687 401130220 521469286 681921374 742090907 1042938572 1303673215 1363842748 1484181814 1704803435 2607346430 2968363628 3389550359 3409606870 3710454535 4432488931 5214692860 6779100718 6819213740 7420909070 8864977862 9647181791 12615545419 13558201436 14841818140 16947751795 17729955724 19294363582 22162444655 25231090838 33895503590 38588727164 44324889310 48235908955 50462181676 57622356103 63077727095 67791007180 88649778620 96471817910 115244712206 125413363283 126155454190 164002090447 192943635820 230489424412 250826726566 252310908380 288111780515 328004180894 501653453132 576223561030 627066816415 656008361788 820010452235 1152447122060 1254133632830 1640020904470 2132027175811 2508267265660 3280041808940 4264054351622 8528108703244 10660135879055 21320271758110 42640543516220