Search a number
-
+
1068274500480 = 27365112127149
BaseRepresentation
bin11111000101110100001…
…11110100001110000000
310210010101212221102000000
433202322013310032000
5120000311233003410
62134431502000000
7140115560300565
oct17427207641600
93703355842000
101068274500480
11382064118700
12153056b76000
13799790a9255
14399c1c1a86c
151cbc5637dc0
hexf8ba1f4380

1068274500480 has 1344 divisors, whose sum is σ = 4270359744000. Its totient is φ = 255212052480.

The previous prime is 1068274500473. The next prime is 1068274500487. The reversal of 1068274500480 is 840054728601.

1068274500480 is a `hidden beast` number, since 1 + 0 + 68 + 2 + 7 + 4 + 500 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1068274500473) and next prime (1068274500487).

It is a super-2 number, since 2×10682745004802 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068274500487) 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 167 ways as a sum of consecutive naturals, for example, 7169627446 + ... + 7169627594.

It is an arithmetic number, because the mean of its divisors is an integer number (3177351000).

Almost surely, 21068274500480 is an apocalyptic number.

1068274500480 is a gapful number since it is divisible by the number (10) 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 1068274500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135179872000).

1068274500480 is an abundant number, since it is smaller than the sum of its proper divisors (3202085243520).

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

1068274500480 is a wasteful number, since it uses less digits than its factorization.

1068274500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1068274500480 in words is "one trillion, sixty-eight billion, two hundred seventy-four million, five hundred thousand, four hundred eighty".