Search a number
-
+
796573632000 = 2935319593701
BaseRepresentation
bin10111001011101110111…
…11010000011000000000
32211011002120211012201010
423211313133100120000
5101022340322211000
61405535121240520
7111356560103646
oct13456737203000
92734076735633
10796573632000
11287909059803
1210a46aa93140
135a169150aa3
142a7a9293196
1515ac25cbd50
hexb9777d0600

796573632000 has 640 divisors, whose sum is σ = 2835814924800. Its totient is φ = 197775360000.

The previous prime is 796573631999. The next prime is 796573632017. The reversal of 796573632000 is 236375697.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 215230150 + ... + 215233850.

It is an arithmetic number, because the mean of its divisors is an integer number (4430960820).

Almost surely, 2796573632000 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 796573632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417907462400).

796573632000 is an abundant number, since it is smaller than the sum of its proper divisors (2039241292800).

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

796573632000 is a wasteful number, since it uses less digits than its factorization.

796573632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The spelling of 796573632000 in words is "seven hundred ninety-six billion, five hundred seventy-three million, six hundred thirty-two thousand".