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675650478240 = 253251932431097
BaseRepresentation
bin10011101010011111110…
…10000010000010100000
32101120222020120112022200
421311033322002002200
542032213010300430
61234220050333200
766546151210113
oct11651772020240
92346866515280
10675650478240
112405a60985a1
12aab41b8a200
134b9379242ba
14249b74c457a
1512896574460
hex9d4fe820a0

675650478240 has 144 divisors (see below), whose sum is σ = 2317604620968. Its totient is φ = 179239845888.

The previous prime is 675650478233. The next prime is 675650478247. The reversal of 675650478240 is 42874056576.

It is a happy number.

675650478240 is a `hidden beast` number, since 6 + 7 + 56 + 504 + 7 + 82 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (675650478233) and next prime (675650478247).

It can be written as a sum of positive squares in 4 ways, for example, as 206003423376 + 469647054864 = 453876^2 + 685308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (675650478247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 937629 + ... + 1493468.

Almost surely, 2675650478240 is an apocalyptic number.

675650478240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

675650478240 is an abundant number, since it is smaller than the sum of its proper divisors (1641954142728).

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

675650478240 is a wasteful number, since it uses less digits than its factorization.

675650478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431311 (or 2431300 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 675650478240 in words is "six hundred seventy-five billion, six hundred fifty million, four hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 193 240 288 360 386 480 579 720 772 965 1158 1440 1544 1737 1930 2316 2895 3088 3474 3860 4632 5790 6176 6948 7720 8685 9264 11580 13896 15440 17370 18528 23160 27792 30880 34740 46320 55584 69480 92640 138960 277920 2431097 4862194 7293291 9724388 12155485 14586582 19448776 21879873 24310970 29173164 36466455 38897552 43759746 48621940 58346328 72932910 77795104 87519492 97243880 109399365 116692656 145865820 175038984 194487760 218798730 233385312 291731640 350077968 388975520 437597460 469201721 583463280 700155936 875194920 938403442 1166926560 1407605163 1750389840 1876806884 2346008605 2815210326 3500779680 3753613768 4222815489 4692017210 5630420652 7038025815 7507227536 8445630978 9384034420 11260841304 14076051630 15014455072 16891261956 18768068840 21114077445 22521682608 28152103260 33782523912 37536137680 42228154890 45043365216 56304206520 67565047824 75072275360 84456309780 112608413040 135130095648 168912619560 225216826080 337825239120 675650478240