Search a number
-
+
66153564810 = 2335245013203
BaseRepresentation
bin111101100111000011…
…110100101010001010
320022202100121021202000
4331213003310222022
52040440303033220
650220204251430
74531230010614
oct754703645212
9208670537660
1066153564810
1126067a65413
12109a2840b76
1363135a25b8
1432b7c37db4
151ac2ac1390
hexf670f4a8a

66153564810 has 32 divisors (see below), whose sum is σ = 176409506880. Its totient is φ = 17640950544.

The previous prime is 66153564793. The next prime is 66153564817. The reversal of 66153564810 is 1846535166.

66153564810 is a `hidden beast` number, since 6 + 6 + 1 + 5 + 3 + 564 + 81 + 0 = 666.

It is a super-2 number, since 2×661535648102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66153564817) 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 15 ways as a sum of consecutive naturals, for example, 122506332 + ... + 122506871.

It is an arithmetic number, because the mean of its divisors is an integer number (5512797090).

Almost surely, 266153564810 is an apocalyptic number.

66153564810 is an abundant number, since it is smaller than the sum of its proper divisors (110255942070).

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

66153564810 is a wasteful number, since it uses less digits than its factorization.

66153564810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245013219 (or 245013213 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 66153564810 in words is "sixty-six billion, one hundred fifty-three million, five hundred sixty-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 245013203 490026406 735039609 1225066015 1470079218 2205118827 2450132030 3675198045 4410237654 6615356481 7350396090 11025594135 13230712962 22051188270 33076782405 66153564810