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674253466644440 = 235312572655779669
BaseRepresentation
bin1001100101001110101101111…
…0010111100010111111011000
310021102100000001101102021201202
42121103223132113202333120
51201333432044430110230
610350003433315533332
7262010130312663224
oct23123533627427730
93242300041367652
10674253466644440
11185924320195191
1263756a098ba248
1322c2baa1659127
14bc70082ddd784
1552e3d2eea6a45
hex2653ade5e2fd8

674253466644440 has 128 divisors (see below), whose sum is σ = 1572180399014400. Its totient is φ = 259972719575040.

The previous prime is 674253466644437. The next prime is 674253466644467. The reversal of 674253466644440 is 44446664352476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8463144926 + ... + 8463224594.

It is an arithmetic number, because the mean of its divisors is an integer number (12282659367300).

Almost surely, 2674253466644440 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 674253466644440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786090199507200).

674253466644440 is an abundant number, since it is smaller than the sum of its proper divisors (897926932369960).

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

674253466644440 is a wasteful number, since it uses less digits than its factorization.

674253466644440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106525 (or 106521 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 65.

The spelling of 674253466644440 in words is "six hundred seventy-four trillion, two hundred fifty-three billion, four hundred sixty-six million, six hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 257 310 514 620 1028 1240 1285 2056 2570 5140 7967 10280 15934 26557 31868 39835 53114 63736 79669 79670 106228 132785 159338 159340 212456 265570 318676 318680 398345 531140 637352 796690 823267 1062280 1593380 1646534 2469739 3186760 3293068 4116335 4939478 6586136 6825149 8232670 9878956 12348695 13650298 16465340 19757912 20474933 24697390 27300596 32930680 34125745 40949866 49394780 54601192 68251490 81899732 98789560 102374665 136502980 163799464 204749330 211579619 273005960 409498660 423159238 634722923 818997320 846318476 1057898095 1269445846 1692636952 2115769633 2115796190 2538891692 3173614615 4231539266 4231592380 5077783384 6347229230 8463078532 8463184760 10578848165 12694458460 16926157064 21157696330 25388916920 42315392660 65588858623 84630785320 131177717246 262355434492 327944293115 524710868984 543752795681 655888586230 1087505591362 1311777172460 2175011182724 2623554344920 2718763978405 4350022365448 5437527956810 10875055913620 16856336666111 21750111827240 33712673332222 67425346664444 84281683330555 134850693328888 168563366661110 337126733322220 674253466644440