Search a number
-
+
66841422829728 = 2533739114811549
BaseRepresentation
bin11110011001010101110110…
…10000111001100010100000
322202122222101200102120210220
433030222323100321202200
532230112213221022403
6354054305320523040
720036063524461231
oct1714527320714240
9282588350376726
1066841422829728
111a3303196a9328
1275b6395320480
132b3b171950091
1412711dbdd1088
157ada736b8953
hex3ccabb4398a0

66841422829728 has 96 divisors (see below), whose sum is σ = 180246975753600. Its totient is φ = 21672751887360.

The previous prime is 66841422829679. The next prime is 66841422829747. The reversal of 66841422829728 is 82792822414866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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, 11486098 + ... + 16297646.

It is an arithmetic number, because the mean of its divisors is an integer number (1877572664100).

Almost surely, 266841422829728 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 66841422829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90123487876800).

66841422829728 is an abundant number, since it is smaller than the sum of its proper divisors (113405552923872).

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

66841422829728 is a wasteful number, since it uses less digits than its factorization.

66841422829728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815510 (or 4815502 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 69.

The spelling of 66841422829728 in words is "sixty-six trillion, eight hundred forty-one billion, four hundred twenty-two million, eight hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 3911 7822 11733 15644 23466 31288 46932 62576 93864 125152 144707 187728 289414 375456 434121 578828 868242 1157656 1736484 2315312 3472968 4630624 4811549 6945936 9623098 13891872 14434647 19246196 28869294 38492392 57738588 76984784 115477176 153969568 178027313 230954352 356054626 461908704 534081939 712109252 1068163878 1424218504 2136327756 2848437008 4272655512 5696874016 8545311024 17090622048 18817968139 37635936278 56453904417 75271872556 112907808834 150543745112 225815617668 301087490224 451631235336 602174980448 696264821143 903262470672 1392529642286 1806524941344 2088794463429 2785059284572 4177588926858 5570118569144 8355177853716 11140237138288 16710355707432 22280474276576 33420711414864 66841422829728