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2396068709776 = 24725929372
BaseRepresentation
bin100010110111100000110…
…100110000010110010000
322111001200010222222121021
4202313200310300112100
5303224122042203101
65032423324005224
7335052546663400
oct42674064602620
98431603888537
102396068709776
118441923596a5
1232845a690814
13144c4358a481
1483d828a6800
15424d96c45a1
hex22de0d30590

2396068709776 has 135 divisors (see below), whose sum is σ = 5499274516929. Its totient is φ = 1008404377344.

The previous prime is 2396068709743. The next prime is 2396068709803. The reversal of 2396068709776 is 6779078606932.

The square root of 2396068709776 is 1547924.

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., 126152832400 + 2269915877376 = 355180^2 + 1506624^2 .

It is a super-2 number, since 2×23960687097762 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2557169980 + ... + 2557170916.

Almost surely, 22396068709776 is an apocalyptic number.

2396068709776 is the 1547924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2396068709776

2396068709776 is an abundant number, since it is smaller than the sum of its proper divisors (3103205807153).

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

2396068709776 is an frugal number, since it uses more digits than its factorization.

2396068709776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 70.

The spelling of 2396068709776 in words is "two trillion, three hundred ninety-six billion, sixty-eight million, seven hundred nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 937 944 1652 1874 2891 3304 3481 3748 5782 6559 6608 6962 7496 11564 13118 13924 14992 23128 24367 26236 27848 45913 46256 48734 52472 55283 55696 91826 97468 104944 110566 170569 183652 194936 221132 341138 367304 386981 389872 442264 682276 734608 773962 877969 884528 1364552 1547924 1755938 2708867 2729104 3095848 3261697 3511876 5417734 6145783 6191696 6523394 7023752 10835468 12291566 13046788 14047504 21670936 22831879 24583132 26093576 43020481 43341872 45663758 49166264 51800171 52187152 86040962 91327516 98332528 103600342 159823153 172081924 182655032 207200684 319646306 344163848 362601197 365310064 414401368 639292612 688327696 725202394 828802736 1278585224 1450404788 2538208379 2557170448 2900809576 3056210089 5076416758 5801619152 6112420178 10152833516 12224840356 20305667032 21393470623 24449680712 40611334064 42786941246 48899361424 85573882492 149754294361 171147764984 299508588722 342295529968 599017177444 1198034354888 2396068709776