Search a number
-
+
2320712543328 = 253472056325013
BaseRepresentation
bin100001110001010101001…
…111110010110001100000
322012212011110002002122120
4201301111033302301200
5301010304402341303
64534042015504240
7326444264100204
oct41612517626140
98185143062576
102320712543328
11815232803493
12315929b28080
1313aac457c37a
1480474798b04
1540578c56553
hex21c553f2c60

2320712543328 has 96 divisors (see below), whose sum is σ = 6222035990016. Its totient is φ = 757044807168.

The previous prime is 2320712543239. The next prime is 2320712543329. The reversal of 2320712543328 is 8233452170232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2320712543328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320712543329) 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 15 ways as a sum of consecutive naturals, for example, 92767750 + ... + 92792762.

It is an arithmetic number, because the mean of its divisors is an integer number (64812874896).

Almost surely, 22320712543328 is an apocalyptic number.

It is an amenable number.

2320712543328 is an abundant number, since it is smaller than the sum of its proper divisors (3901323446688).

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

2320712543328 is a wasteful number, since it uses less digits than its factorization.

2320712543328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45636 (or 45628 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 2320712543328 in words is "two trillion, three hundred twenty billion, seven hundred twelve million, five hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 20563 25013 41126 50026 61689 75039 82252 100052 123378 150078 164504 200104 246756 300156 329008 400208 493512 600312 658016 800416 966461 987024 1175611 1200624 1932922 1974048 2351222 2401248 2899383 3526833 3865844 4702444 5798766 7053666 7731688 9404888 11597532 14107332 15463376 18809776 23195064 28214664 30926752 37619552 46390128 56429328 92780256 112858656 514342319 1028684638 1543026957 2057369276 3086053914 4114738552 6172107828 8229477104 12344215656 16458954208 24174088993 24688431312 48348177986 49376862624 72522266979 96696355972 145044533958 193392711944 290089067916 386785423888 580178135832 773570847776 1160356271664 2320712543328