Search a number
-
+
66640372434000 = 24335312714336781
BaseRepresentation
bin11110010011011111010111…
…01110100000010001010000
322201221202110010122021021000
433021233223232200101100
532213313440320342000
6353422055305102000
720015415360350061
oct1711575356402120
9281852403567230
1066640372434000
111a263028a23292
127583425a87900
132b25210b2a491
1412655a8604568
157a8707e0b000
hex3c9bebba0450

66640372434000 has 640 divisors, whose sum is σ = 240803719004160. Its totient is φ = 17615937024000.

The previous prime is 66640372433983. The next prime is 66640372434037. The reversal of 66640372434000 is 43427304666.

66640372434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9827510610 + ... + 9827517390.

It is an arithmetic number, because the mean of its divisors is an integer number (376255810944).

Almost surely, 266640372434000 is an apocalyptic number.

66640372434000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66640372434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120401859502080).

66640372434000 is an abundant number, since it is smaller than the sum of its proper divisors (174163346570160).

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

66640372434000 is a wasteful number, since it uses less digits than its factorization.

66640372434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

Adding to 66640372434000 its reverse (43427304666), we get a palindrome (66683799738666).

The spelling of 66640372434000 in words is "sixty-six trillion, six hundred forty billion, three hundred seventy-two million, four hundred thirty-four thousand".