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2334282842896 = 24292131712
BaseRepresentation
bin100001111101111110000…
…110011000001100010000
322021011012011222202001021
4201331332012120030100
5301221102401433041
64544204342245224
7330434463533614
oct41757606301420
98234164882037
102334282842896
1181aa668a03a4
12318496726814
1313c177b4b124
1480da0b79344
1540ac02aacd1
hex21f7e198310

2334282842896 has 45 divisors (see below), whose sum is σ = 4684360639413. Its totient is φ = 1126809606720.

The previous prime is 2334282842891. The next prime is 2334282842921. The reversal of 2334282842896 is 6982482824332.

The square root of 2334282842896 is 1527836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1224041300496 + 1110241542400 = 1106364^2 + 1053680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2334282842891) 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 8 ways as a sum of consecutive naturals, for example, 177222391 + ... + 177235561.

Almost surely, 22334282842896 is an apocalyptic number.

2334282842896 is the 1527836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334282842896

2334282842896 is an abundant number, since it is smaller than the sum of its proper divisors (2350077796517).

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

2334282842896 is an frugal number, since it uses more digits than its factorization.

2334282842896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26408 (or 13202 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 61.

The spelling of 2334282842896 in words is "two trillion, three hundred thirty-four billion, two hundred eighty-two million, eight hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13171 13456 26342 52684 105368 210736 381959 763918 1527836 3055672 6111344 11076811 22153622 44307244 88614488 173475241 177228976 346950482 693900964 1387801928 2775603856 5030781989 10061563978 20123127956 40246255912 80492511824 145892677681 291785355362 583570710724 1167141421448 2334282842896