Search a number
-
+
32668780666921 = 7223213122712
BaseRepresentation
bin1110110110110010010110…
…00100010010000000101001
311021200002211111100120021121
413123121023010102000221
513240221130322320141
6153251455230535241
76611145560643100
oct733311304220051
9137602744316247
1032668780666921
11a455830016513
1237b7518667521
13152c8642752a9
1480d26abb3037
153b9bcb17b1d1
hex1db64b112029

32668780666921 has 81 divisors (see below), whose sum is σ = 40180414730589. Its totient is φ = 26481800545200.

The previous prime is 32668780666913. The next prime is 32668780666933. The reversal of 32668780666921 is 12966608786623.

The square root of 32668780666921 is 5715661.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 32668780666921 - 23 = 32668780666913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32668780616921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 120549006016 + ... + 120549006286.

Almost surely, 232668780666921 is an apocalyptic number.

32668780666921 is the 5715661-st square number.

32668780666921 is the 2857831-st centered octagonal number.

It is an amenable number.

32668780666921 is a deficient number, since it is larger than the sum of its proper divisors (7511634063668).

32668780666921 is an frugal number, since it uses more digits than its factorization.

32668780666921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 70.

The spelling of 32668780666921 in words is "thirty-two trillion, six hundred sixty-eight billion, seven hundred eighty million, six hundred sixty-six thousand, nine hundred twenty-one".

Divisors: 1 7 23 49 131 161 271 529 917 1127 1897 3013 3703 6233 6419 13279 17161 21091 25921 35501 43631 69299 73441 120127 143359 147637 248507 305417 394703 485093 514087 816523 840889 1003513 1689143 1739549 2762921 3395651 3598609 4650631 5715661 7024591 9078169 9620771 11824001 18780029 19340447 32554417 38850289 40009627 63547183 67345397 82768007 106964513 131460203 221277733 227880919 271952023 444830281 471417779 748751591 920221421 1260321001 1548944131 1903664161 2460183799 5089387859 5241261137 8822247007 10842608917 17221286593 28987383023 35625715013 61755729049 120549006151 202911681161 249380005091 666709809529 1420381768127 4666968666703 32668780666921