Search a number
-
+
3041536378608 = 24337213171921801
BaseRepresentation
bin101100010000101001101…
…100100000011011110000
3101202202201220021221012000
4230100221230200123300
5344313031303103413
610245132412134000
7432513051435600
oct54205154403360
911682656257160
103041536378608
11a729a9aa1802
12411578467300
13190a7aca0b20
14a72d5556c00
15541b605e073
hex2c429b206f0

3041536378608 has 1440 divisors, whose sum is σ = 12228602944320. Its totient is φ = 714844569600.

The previous prime is 3041536378597. The next prime is 3041536378613. The reversal of 3041536378608 is 8068736351403.

3041536378608 is a `hidden beast` number, since 3 + 0 + 41 + 536 + 3 + 7 + 8 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1688803308 + ... + 1688805108.

It is an arithmetic number, because the mean of its divisors is an integer number (8492085378).

Almost surely, 23041536378608 is an apocalyptic number.

3041536378608 is a gapful number since it is divisible by the number (38) 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 3041536378608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114301472160).

3041536378608 is an abundant number, since it is smaller than the sum of its proper divisors (9187066565712).

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

3041536378608 is a wasteful number, since it uses less digits than its factorization.

3041536378608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3041536378608 in words is "three trillion, forty-one billion, five hundred thirty-six million, three hundred seventy-eight thousand, six hundred eight".