Search a number
-
+
66034348821 = 337718835573
BaseRepresentation
bin111101011111111101…
…000011001100010101
320022110001021111011000
4331133331003030111
52040214243130241
650200305133513
74525251463260
oct753775031425
9208401244130
1066034348821
1126006739701
121096a92a299
1362c49914ac
1432a6083cd7
151ab73c2eb6
hexf5ff43315

66034348821 has 64 divisors (see below), whose sum is σ = 113527664640. Its totient is φ = 37153650240.

The previous prime is 66034348813. The next prime is 66034348843. The reversal of 66034348821 is 12884343066.

66034348821 is a `hidden beast` number, since 6 + 603 + 4 + 34 + 8 + 8 + 2 + 1 = 666.

It is not a de Polignac number, because 66034348821 - 23 = 66034348813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66034348811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11846191 + ... + 11851763.

It is an arithmetic number, because the mean of its divisors is an integer number (1773869760).

Almost surely, 266034348821 is an apocalyptic number.

It is an amenable number.

66034348821 is a deficient number, since it is larger than the sum of its proper divisors (47493315819).

66034348821 is a wasteful number, since it uses less digits than its factorization.

66034348821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 66034348821 in words is "sixty-six billion, thirty-four million, three hundred forty-eight thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 71 189 213 497 639 883 1491 1917 2649 4473 5573 6181 7947 13419 16719 18543 23841 39011 50157 55629 62693 117033 150471 166887 188079 351099 395683 438851 564237 1053297 1187049 1316553 1692711 2769781 3561147 3949659 4920959 8309343 10683441 11848977 14762877 24928029 34446713 44288631 74784087 103340139 132865893 310020417 349388089 930061251 1048164267 2445716623 3144492801 7337149869 9433478403 22011449607 66034348821