Search a number
-
+
5964643428120 = 23335131931253439
BaseRepresentation
bin101011011001100000001…
…1100111110011100011000
3210010012210020220121022000
41112303000130332130120
51240211042204144440
620404041441001000
71153634265416526
oct126630034763430
923105706817260
105964643428120
11199a655798713
12803ba3023160
133436042c1850
141689941c5316
15a5249e71730
hex56cc073e718

5964643428120 has 1536 divisors, whose sum is σ = 23782429440000. Its totient is φ = 1317669949440.

The previous prime is 5964643428077. The next prime is 5964643428131. The reversal of 5964643428120 is 218243464695.

5964643428120 is a `hidden beast` number, since 5 + 9 + 6 + 464 + 34 + 28 + 120 = 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13586886861 + ... + 13586887299.

It is an arithmetic number, because the mean of its divisors is an integer number (15483352500).

Almost surely, 25964643428120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5964643428120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891214720000).

5964643428120 is an abundant number, since it is smaller than the sum of its proper divisors (17817786011880).

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

5964643428120 is a wasteful number, since it uses less digits than its factorization.

5964643428120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5964643428120 in words is "five trillion, nine hundred sixty-four billion, six hundred forty-three million, four hundred twenty-eight thousand, one hundred twenty".