Search a number
-
+
793243285380 = 223657135471093
BaseRepresentation
bin10111000101100001111…
…10111111011110000100
32210211111111012002000000
423202300332333132010
5100444030240113010
61404224432321300
7111211210450410
oct13426076773604
92724444162000
10793243285380
1128645a178027
1210989b6a3230
1359a581a4aa0
142a570c57d40
151597a0327c0
hexb8b0fbf784

793243285380 has 672 divisors, whose sum is σ = 3082374161664. Its totient is φ = 166906801152.

The previous prime is 793243285363. The next prime is 793243285403. The reversal of 793243285380 is 83582342397.

793243285380 is a `hidden beast` number, since 7 + 9 + 324 + 3 + 285 + 38 + 0 = 666.

It is a super-3 number, since 3×7932432853803 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 725748114 + ... + 725749206.

It is an arithmetic number, because the mean of its divisors is an integer number (4586866312).

Almost surely, 2793243285380 is an apocalyptic number.

793243285380 is a gapful number since it is divisible by the number (70) 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 793243285380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541187080832).

793243285380 is an abundant number, since it is smaller than the sum of its proper divisors (2289130876284).

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

793243285380 is a wasteful number, since it uses less digits than its factorization.

793243285380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1670 counting only the distinct ones).

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

The spelling of 793243285380 in words is "seven hundred ninety-three billion, two hundred forty-three million, two hundred eighty-five thousand, three hundred eighty".