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6426645240 = 2335611934549
BaseRepresentation
bin1011111110000111…
…01101001011111000
3121120212212101220210
411333003231023320
5101130210121430
62541413151120
7315154404021
oct57703551370
917525771823
106426645240
1127a8745764
1212b432b4a0
137b55a9382
1444d74bc48
152793112b0
hex17f0ed2f8

6426645240 has 128 divisors (see below), whose sum is σ = 19701864000. Its totient is φ = 1676574720.

The previous prime is 6426645191. The next prime is 6426645259. The reversal of 6426645240 is 425466246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410486 + ... + 1415034.

Almost surely, 26426645240 is an apocalyptic number.

6426645240 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 6426645240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850932000).

6426645240 is an abundant number, since it is smaller than the sum of its proper divisors (13275218760).

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

6426645240 is a wasteful number, since it uses less digits than its factorization.

6426645240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 6426645240 is about 80166.3597776524. The cubic root of 6426645240 is about 1859.2085544824.

The spelling of 6426645240 in words is "six billion, four hundred twenty-six million, six hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 193 244 305 366 386 488 579 610 732 772 915 965 1158 1220 1464 1544 1830 1930 2316 2440 2895 3660 3860 4549 4632 5790 7320 7720 9098 11580 11773 13647 18196 22745 23160 23546 27294 35319 36392 45490 47092 54588 58865 68235 70638 90980 94184 109176 117730 136470 141276 176595 181960 235460 272940 277489 282552 353190 470920 545880 554978 706380 832467 877957 1109956 1387445 1412760 1664934 1755914 2219912 2633871 2774890 3329868 3511828 4162335 4389785 5267742 5549780 6659736 7023656 8324670 8779570 10535484 11099560 13169355 16649340 17559140 21070968 26338710 33298680 35118280 52677420 53555377 105354840 107110754 160666131 214221508 267776885 321332262 428443016 535553770 642664524 803330655 1071107540 1285329048 1606661310 2142215080 3213322620 6426645240