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3522445242336 = 253215180998097
BaseRepresentation
bin110011010000100010000…
…110001110111111100000
3110110202001021011102211100
4303100202012032333200
5430202431440223321
611254104454114400
7512326322354646
oct63204206167740
913422037142740
103522445242336
111138951566a29
1248a80b94ba00
131c721bb21c57
14c26b707b196
1561960b04326
hex3342218efe0

3522445242336 has 72 divisors (see below), whose sum is σ = 10083291223824. Its totient is φ = 1166372582400.

The previous prime is 3522445242319. The next prime is 3522445242377. The reversal of 3522445242336 is 6332425442253.

3522445242336 is a `hidden beast` number, since 3 + 5 + 224 + 4 + 52 + 42 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3522445242291 and 3522445242300.

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 11 ways as a sum of consecutive naturals, for example, 40455561 + ... + 40542536.

It is an arithmetic number, because the mean of its divisors is an integer number (140045711442).

Almost surely, 23522445242336 is an apocalyptic number.

3522445242336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3522445242336 is an abundant number, since it is smaller than the sum of its proper divisors (6560845981488).

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

3522445242336 is a wasteful number, since it uses less digits than its factorization.

3522445242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80998264 (or 80998253 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 45.

The spelling of 3522445242336 in words is "three trillion, five hundred twenty-two billion, four hundred forty-five million, two hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 80998097 161996194 242994291 323992388 485988582 647984776 728982873 971977164 1295969552 1457965746 1943954328 2591939104 2915931492 3887908656 5831862984 7775817312 11663725968 12230712647 23327451936 24461425294 36692137941 48922850588 73384275882 97845701176 110076413823 146768551764 195691402352 220152827646 293537103528 391382804704 440305655292 587074207056 880611310584 1174148414112 1761222621168 3522445242336