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6345248423280 = 2435136073350467
BaseRepresentation
bin101110001010101111001…
…0001110011110101110000
3211110121012021100122101020
41130111132101303311300
51312430032044021110
621254544502535440
71223300112456114
oct134253621636560
924417167318336
106345248423280
112027006350898
12865902a37580
1337047b6ac660
1417d17c589744
15b00c3ca6d70
hex5c55e473d70

6345248423280 has 160 divisors (see below), whose sum is σ = 21218272610304. Its totient is φ = 1559333680128.

The previous prime is 6345248423237. The next prime is 6345248423309. The reversal of 6345248423280 is 823248425436.

It is a congruent number.

It is an unprimeable number.

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, 218607 + ... + 3569073.

Almost surely, 26345248423280 is an apocalyptic number.

6345248423280 is a gapful number since it is divisible by the number (60) 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 6345248423280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609136305152).

6345248423280 is an abundant number, since it is smaller than the sum of its proper divisors (14873024187024).

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

6345248423280 is a wasteful number, since it uses less digits than its factorization.

6345248423280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351103 (or 3351097 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 51.

The spelling of 6345248423280 in words is "six trillion, three hundred forty-five billion, two hundred forty-eight million, four hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 607 624 780 1040 1214 1560 1821 2428 3035 3120 3642 4856 6070 7284 7891 9105 9712 12140 14568 15782 18210 23673 24280 29136 31564 36420 39455 47346 48560 63128 72840 78910 94692 118365 126256 145680 157820 189384 236730 315640 378768 473460 631280 946920 1893840 3350467 6700934 10051401 13401868 16752335 20102802 26803736 33504670 40205604 43556071 50257005 53607472 67009340 80411208 87112142 100514010 130668213 134018680 160822416 174224284 201028020 217780355 261336426 268037360 348448568 402056040 435560710 522672852 653341065 696897136 804112080 871121420 1045345704 1306682130 1742242840 2033733469 2090691408 2613364260 3484485680 4067466938 5226728520 6101200407 8134933876 10168667345 10453457040 12202400814 16269867752 20337334690 24404801628 26438535097 30506002035 32539735504 40674669380 48809603256 52877070194 61012004070 79315605291 81349338760 97619206512 105754140388 122024008140 132192675485 158631210582 162698677520 211508280776 244048016280 264385350970 317262421164 396578026455 423016561552 488096032560 528770701940 634524842328 793156052910 1057541403880 1269049684656 1586312105820 2115082807760 3172624211640 6345248423280