Search a number
-
+
1350256650560 = 26589230920533
BaseRepresentation
bin10011101001100001100…
…100010110100101000000
311210002020201002211020022
4103221201210112211000
5134110311200304220
62512144354033012
7166360422105446
oct23514144264500
94702221084208
101350256650560
11480705750644
12199832278768
139a4370979ac
14494d2006b96
15251cb0b4925
hex13a61916940

1350256650560 has 112 divisors (see below), whose sum is σ = 3252992173200. Its totient is φ = 533776809984.

The previous prime is 1350256650503. The next prime is 1350256650563. The reversal of 1350256650560 is 650566520531.

It can be written as a sum of positive squares in 8 ways, for example, as 2317074496 + 1347939576064 = 48136^2 + 1161008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350256650563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65750054 + ... + 65770586.

It is an arithmetic number, because the mean of its divisors is an integer number (29044572975).

Almost surely, 21350256650560 is an apocalyptic number.

1350256650560 is a gapful number since it is divisible by the number (10) 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 1350256650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626496086600).

1350256650560 is an abundant number, since it is smaller than the sum of its proper divisors (1902735522640).

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

1350256650560 is a wasteful number, since it uses less digits than its factorization.

1350256650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22948 (or 22938 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 1350256650560 in words is "one trillion, three hundred fifty billion, two hundred fifty-six million, six hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 890 1424 1780 2309 2848 3560 4618 5696 7120 9236 11545 14240 18472 20533 23090 28480 36944 41066 46180 73888 82132 92360 102665 147776 164264 184720 205330 205501 328528 369440 410660 411002 657056 738880 821320 822004 1027505 1314112 1642640 1644008 1827437 2055010 3285280 3288016 3654874 4110020 6570560 6576032 7309748 8220040 9137185 13152064 14619496 16440080 18274370 29238992 32880160 36548740 47410697 58477984 65760320 73097480 94821394 116955968 146194960 189642788 237053485 292389920 379285576 474106970 584779840 758571152 948213940 1517142304 1896427880 3034284608 3792855760 4219552033 7585711520 8439104066 15171423040 16878208132 21097760165 33756416264 42195520330 67512832528 84391040660 135025665056 168782081320 270051330112 337564162640 675128325280 1350256650560