Search a number
-
+
66645541376720 = 2458326993718777
BaseRepresentation
bin11110010011101000111111…
…10100011101001011010000
322201222020210100220202122222
433021310133310131023100
532213410032043023340
6353424312233320212
720015660433550655
oct1711643764351320
9281866710822588
1066645541376720
111a265240730479
127584428b66068
132b2585598b077
141265938cc1c2c
157a890bad48b5
hex3c9d1fd1d2d0

66645541376720 has 80 divisors (see below), whose sum is σ = 156875906174400. Its totient is φ = 26327268068352.

The previous prime is 66645541376719. The next prime is 66645541376747. The reversal of 66645541376720 is 2767314554666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16061972 + ... + 19780748.

It is an arithmetic number, because the mean of its divisors is an integer number (1960948827180).

Almost surely, 266645541376720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66645541376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78437953087200).

66645541376720 is an abundant number, since it is smaller than the sum of its proper divisors (90230364797680).

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

66645541376720 is a wasteful number, since it uses less digits than its factorization.

66645541376720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721572 (or 3721566 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 62.

The spelling of 66645541376720 in words is "sixty-six trillion, six hundred forty-five billion, five hundred forty-one million, three hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 2699 3320 5398 6640 10796 13495 21592 26990 43184 53980 107960 215920 224017 448034 896068 1120085 1792136 2240170 3584272 3718777 4480340 7437554 8960680 14875108 17921360 18593885 29750216 37187770 59500432 74375540 148751080 297502160 308658491 617316982 1234633964 1543292455 2469267928 3086584910 4938535856 6173169820 10036979123 12346339640 20073958246 24692679280 40147916492 50184895615 80295832984 100369791230 160591665968 200739582460 401479164920 802958329840 833069267209 1666138534418 3332277068836 4165346336045 6664554137672 8330692672090 13329108275344 16661385344180 33322770688360 66645541376720