Search a number
-
+
81662948005266 = 23219537695858639
BaseRepresentation
bin10010100100010110100011…
…000000011101010110010010
3101201010220100020220111022200
4102210112203000131112102
541200431204142132031
6445403235043344030
723125644660001545
oct2244264300352622
9351126306814280
1081662948005266
1124025075222681
1291aa9b0082016
133674a241c3644
14162471748485c
159693924938e6
hex4a45a301d592

81662948005266 has 96 divisors (see below), whose sum is σ = 190009755936000. Its totient is φ = 25268821254144.

The previous prime is 81662948005189. The next prime is 81662948005349. The reversal of 81662948005266 is 66250084926618.

81662948005266 is a `hidden beast` number, since 8 + 1 + 6 + 6 + 29 + 4 + 80 + 0 + 526 + 6 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11009575 + ... + 16868213.

It is an arithmetic number, because the mean of its divisors is an integer number (1979268291000).

Almost surely, 281662948005266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81662948005266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95004877968000).

81662948005266 is an abundant number, since it is smaller than the sum of its proper divisors (108346807930734).

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

81662948005266 is a wasteful number, since it uses less digits than its factorization.

81662948005266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859488 (or 5859485 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 81662948005266 in words is "eighty-one trillion, six hundred sixty-two billion, nine hundred forty-eight million, five thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 769 954 1007 1538 2014 2307 3021 4614 6042 6921 9063 13842 14611 18126 29222 40757 43833 81514 87666 122271 131499 244542 262998 366813 733626 774383 1548766 2323149 4646298 5858639 6969447 11717278 13938894 17575917 35151834 52727751 105455502 111314141 222628282 310507867 333942423 621015734 667884846 931523601 1001827269 1863047202 2003654538 2794570803 4505293391 5589141606 5899649473 9010586782 11799298946 13515880173 17698948419 27031760346 35397896838 40547640519 53096845257 81095281038 85600574429 106193690514 171201148858 238780549723 256801723287 477561099446 513603446574 716341649169 770405169861 1432683298338 1540810339722 2149024947507 4298049895014 4536830444737 9073660889474 13610491334211 27220982668422 40831474002633 81662948005266