Search a number
-
+
20182665005028 = 22321709328045397
BaseRepresentation
bin1001001011011001001001…
…00101000000011111100100
32122110102222121220012112100
410211230210211000133210
510121133044220130103
6110531442135052100
74152102152653641
oct445544445003744
978412877805470
1020182665005028
116481469263a09
12231b651811030
13b352a90ab326
144dabbbd7adc8
1524eee65105a3
hex125b249407e4

20182665005028 has 36 divisors (see below), whose sum is σ = 51047144382780. Its totient is φ = 6723618436416.

The previous prime is 20182665005023. The next prime is 20182665005033. The reversal of 20182665005028 is 82050056628102.

It is a happy number.

20182665005028 is a `hidden beast` number, since 2 + 0 + 1 + 82 + 6 + 65 + 0 + 0 + 502 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20182665005023) and next prime (20182665005033).

It can be written as a sum of positive squares in 2 ways, for example, as 1086831270144 + 19095833734884 = 1042512^2 + 4369878^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (20182665005021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 163961175 + ... + 164084222.

It is an arithmetic number, because the mean of its divisors is an integer number (1417976232855).

Almost surely, 220182665005028 is an apocalyptic number.

It is an amenable number.

20182665005028 is an abundant number, since it is smaller than the sum of its proper divisors (30864479377752).

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

20182665005028 is a wasteful number, since it uses less digits than its factorization.

20182665005028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328047116 (or 328047111 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 20182665005028 in words is "twenty trillion, one hundred eighty-two billion, six hundred sixty-five million, five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1709 3418 5127 6836 10254 15381 20508 30762 61524 328045397 656090794 984136191 1312181588 1968272382 2952408573 3936544764 5904817146 11809634292 560629583473 1121259166946 1681888750419 2242518333892 3363777500838 5045666251257 6727555001676 10091332502514 20182665005028