Search a number
-
+
2097472353660 = 22325137124968099
BaseRepresentation
bin11110100001011011000…
…110000011010101111100
321102111221110021110021200
4132201123012003111330
5233331110410304120
64243322051455500
7304352214561165
oct36413306032574
97374843243250
102097472353660
1173959550a872
1229a6072b7590
13122a384b4a98
1473737d4476c
1539860379e90
hex1e85b18357c

2097472353660 has 144 divisors (see below), whose sum is σ = 6413998500000. Its totient is φ = 554790592512.

The previous prime is 2097472353653. The next prime is 2097472353701. The reversal of 2097472353660 is 663532747902.

2097472353660 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 47 + 2 + 3 + 536 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2097472353597 and 2097472353606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30766291 + ... + 30834389.

It is an arithmetic number, because the mean of its divisors is an integer number (44541656250).

Almost surely, 22097472353660 is an apocalyptic number.

2097472353660 is a gapful number since it is divisible by the number (20) 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 2097472353660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206999250000).

2097472353660 is an abundant number, since it is smaller than the sum of its proper divisors (4316526146340).

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

2097472353660 is a wasteful number, since it uses less digits than its factorization.

2097472353660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69500 (or 69495 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 2097472353660 in words is "two trillion, ninety-seven billion, four hundred seventy-two million, three hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1249 1370 1644 2055 2466 2498 2740 3747 4110 4932 4996 6165 6245 7494 8220 11241 12330 12490 14988 18735 22482 24660 24980 37470 44964 56205 68099 74940 112410 136198 171113 204297 224820 272396 340495 342226 408594 513339 612891 680990 684452 817188 855565 1021485 1026678 1225782 1361980 1540017 1711130 2042970 2053356 2451564 2566695 3064455 3080034 3422260 4085940 5133390 6128910 6160068 7700085 9329563 10266780 12257820 15400170 18659126 27988689 30800340 37318252 46647815 55977378 83966067 85055651 93295630 111954756 139943445 167932134 170111302 186591260 255166953 279886890 335864268 340222604 419830335 425278255 510333906 559773780 765500859 839660670 850556510 1020667812 1275834765 1531001718 1679321340 1701113020 2551669530 3062003436 3827504295 5103339060 7655008590 11652624187 15310017180 23305248374 34957872561 46610496748 58263120935 69915745122 104873617683 116526241870 139831490244 174789362805 209747235366 233052483740 349578725610 419494470732 524368088415 699157451220 1048736176830 2097472353660