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530910374640 = 243553313133349
BaseRepresentation
bin1111011100111001011…
…10010110101011110000
31212202101001112102211220
413232130232112223300
532144301023442030
61043521415505040
753233311503562
oct7563456265360
91782331472756
10530910374640
1119518107a468
1286a88988180
133b0abccc799
141b9a6529332
15dc24637a10
hex7b9cb96af0

530910374640 has 160 divisors (see below), whose sum is σ = 1682245454400. Its totient is φ = 138460028928.

The previous prime is 530910374597. The next prime is 530910374647. The reversal of 530910374640 is 46473019035.

It is a junction number, because it is equal to n+sod(n) for n = 530910374592 and 530910374601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530910374647) by changing a digit.

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, 3914686 + ... + 4048034.

It is an arithmetic number, because the mean of its divisors is an integer number (10514034090).

Almost surely, 2530910374640 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 530910374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841122727200).

530910374640 is an abundant number, since it is smaller than the sum of its proper divisors (1151335079760).

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

530910374640 is a wasteful number, since it uses less digits than its factorization.

530910374640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133731 (or 133725 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 530910374640 in words is "five hundred thirty billion, nine hundred ten million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 313 318 424 530 626 636 795 848 939 1060 1252 1272 1565 1590 1878 2120 2504 2544 3130 3180 3756 4240 4695 5008 6260 6360 7512 9390 12520 12720 15024 16589 18780 25040 33178 37560 49767 66356 75120 82945 99534 132712 133349 165890 199068 248835 265424 266698 331780 398136 400047 497670 533396 663560 666745 796272 800094 995340 1066792 1327120 1333490 1600188 1990680 2000235 2133584 2666980 3200376 3981360 4000470 5333960 6400752 7067497 8000940 10667920 14134994 16001880 21202491 28269988 32003760 35337485 41738237 42404982 56539976 70674970 83476474 84809964 106012455 113079952 125214711 141349940 166952948 169619928 208691185 212024910 250429422 282699880 333905896 339239856 417382370 424049820 500858844 565399760 626073555 667811792 834764740 848099640 1001717688 1252147110 1669529480 1696199280 2003435376 2212126561 2504294220 3339058960 4424253122 5008588440 6636379683 8848506244 10017176880 11060632805 13272759366 17697012488 22121265610 26545518732 33181898415 35394024976 44242531220 53091037464 66363796830 88485062440 106182074928 132727593660 176970124880 265455187320 530910374640