Search a number
-
+
64947666674946 = 23112792879393331
BaseRepresentation
bin11101100010001110011101…
…00110011110010100000010
322111221221021120010021112010
432301013032212132110002
532003100310132044241
6350044313550113350
716452212503656066
oct1661071646362402
9274857246107463
1064947666674946
1119770172723a00
12734b3621ab856
132a31700660313
1412076ab927aa6
15779687b78d16
hex3b11ce99e502

64947666674946 has 96 divisors (see below), whose sum is σ = 144635413708800. Its totient is φ = 19425184178400.

The previous prime is 64947666674911. The next prime is 64947666674959.

64947666674946 is nontrivially palindromic in base 10.

It is a Curzon 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, 164925501 + ... + 165318831.

It is an arithmetic number, because the mean of its divisors is an integer number (1506618892800).

Almost surely, 264947666674946 is an apocalyptic number.

64947666674946 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64947666674946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72317706854400).

64947666674946 is an abundant number, since it is smaller than the sum of its proper divisors (79687747033854).

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

64947666674946 is a wasteful number, since it uses less digits than its factorization.

64947666674946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396316 (or 396305 counting only the distinct ones).

The product of its digits is 47405481984, while the sum is 84.

The spelling of 64947666674946 in words is "sixty-four trillion, nine hundred forty-seven billion, six hundred sixty-six million, six hundred seventy-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 79 121 158 237 242 363 474 726 869 1738 2607 2879 5214 5758 8637 9559 17274 19118 28677 31669 57354 63338 95007 190014 227441 348359 393331 454882 682323 696718 786662 1045077 1179993 1364646 2090154 2359986 2501851 4326641 5003702 7505553 8653282 12979923 15011106 25959846 27520361 31073149 47593051 55040722 62146298 82561083 93219447 95186102 142779153 165122166 186438894 285558306 341804639 683609278 1025413917 1132399949 2050827834 2264799898 3397199847 3759851029 6794399694 7519702058 11279553087 12456399439 22559106174 24912798878 37369198317 74738396634 89459595971 137020393829 178919191942 268378787913 274040787658 411061181487 536757575826 822122362974 984055555681 1968111111362 2952166667043 5904333334086 10824611112491 21649222224982 32473833337473 64947666674946