Search a number
-
+
6473189031936 = 21731121753151
BaseRepresentation
bin101111000110010100000…
…1000100000000000000000
3211220211102200011222011120
41132030220020200000000
51322024042343010221
621433424134112240
71235446441631064
oct136145010400000
924824380158146
106473189031936
11207629a4a8800
12886669aab680
1337c55aa13c13
14185438339aa4
15b35b0e255c6
hex5e328220000

6473189031936 has 864 divisors, whose sum is σ = 20604389468544. Its totient is φ = 1799356416000.

The previous prime is 6473189031931. The next prime is 6473189031971. The reversal of 6473189031936 is 6391309813746.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6473189031936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6473189031931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42868801461 + ... + 42868801611.

It is an arithmetic number, because the mean of its divisors is an integer number (23847672996).

Almost surely, 26473189031936 is an apocalyptic number.

6473189031936 is a gapful number since it is divisible by the number (66) 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 6473189031936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302194734272).

6473189031936 is an abundant number, since it is smaller than the sum of its proper divisors (14131200436608).

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

6473189031936 is a wasteful number, since it uses less digits than its factorization.

6473189031936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 6473189031936 in words is "six trillion, four hundred seventy-three billion, one hundred eighty-nine million, thirty-one thousand, nine hundred thirty-six".