Search a number
-
+
670318148201780 = 2251318015197275449
BaseRepresentation
bin1001100001101001101001101…
…1000111000010110100110100
310020220101210022021111010220102
42120122122123013002310310
51200324443031414424110
610333351523420053232
7261122613412101041
oct23032323307026464
93226353267433812
10670318148201780
1118464736a557a31
1263220193694218
1322a04965192060
14bb758002001c8
1552767a77525a5
hex261a69b1c2d34

670318148201780 has 96 divisors (see below), whose sum is σ = 1517089367421600. Its totient is φ = 247316165222400.

The previous prime is 670318148201773. The next prime is 670318148201827. The reversal of 670318148201780 is 87102841813076.

It can be written as a sum of positive squares in 16 ways, for example, as 375682159080484 + 294635989121296 = 19382522^2 + 17164964^2 .

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, 2433409496 + ... + 2433684944.

It is an arithmetic number, because the mean of its divisors is an integer number (15803014243975).

Almost surely, 2670318148201780 is an apocalyptic number.

It is an amenable number.

670318148201780 is an abundant number, since it is smaller than the sum of its proper divisors (846771219219820).

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

670318148201780 is a wasteful number, since it uses less digits than its factorization.

670318148201780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282469 (or 282467 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 56.

The spelling of 670318148201780 in words is "six hundred seventy trillion, three hundred eighteen billion, one hundred forty-eight million, two hundred one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1801 3602 5197 7204 9005 10394 18010 20788 23413 25985 36020 46826 51970 67561 93652 103940 117065 135122 234130 270244 275449 337805 468260 550898 675610 1101796 1351220 1377245 2754490 3580837 5508980 7161674 9359797 14323348 17904185 18719594 35808370 37439188 46798985 71616740 93597970 121677361 187195940 243354722 486709444 496083649 608386805 992167298 1216773610 1431508453 1984334596 2433547220 2480418245 2863016906 4960836490 5726033812 6449087437 7157542265 9921672980 12898174874 14315084530 18609609889 25796349748 28630169060 32245437185 37219219778 64490874370 74438439556 93048049445 128981748740 186096098890 372192197780 2578146723853 5156293447706 10312586895412 12890733619265 25781467238530 33515907410089 51562934477060 67031814820178 134063629640356 167579537050445 335159074100890 670318148201780