Search a number
-
+
6133374680832 = 283571923167193
BaseRepresentation
bin101100101000000100110…
…0111100111111100000000
3210201100022102112100100000
41121100021213213330000
51300442122404241312
621013344453200000
71202056512411150
oct131201147477400
923640272470300
106133374680832
111a55171124203
12830832930000
133564b4433b99
14172bdd554760
15a9823201adc
hex594099e7f00

6133374680832 has 1728 divisors, whose sum is σ = 23279010693120. Its totient is φ = 1570293153792.

The previous prime is 6133374680831. The next prime is 6133374680833. The reversal of 6133374680832 is 2380864733316.

6133374680832 is a `hidden beast` number, since 6 + 133 + 374 + 68 + 0 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6133374680831) and next prime (6133374680833).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6133374680831) 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 191 ways as a sum of consecutive naturals, for example, 31779143328 + ... + 31779143520.

Almost surely, 26133374680832 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 6133374680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639505346560).

6133374680832 is an abundant number, since it is smaller than the sum of its proper divisors (17145636012288).

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

6133374680832 is a wasteful number, since it uses less digits than its factorization.

6133374680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 6133374680832 in words is "six trillion, one hundred thirty-three billion, three hundred seventy-four million, six hundred eighty thousand, eight hundred thirty-two".