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740683836081 = 327234637110237
BaseRepresentation
bin10101100011101000011…
…00100110101010110001
32121210211112022101222200
422301310030212222301
544113410030223311
61324133201053413
7104340556504350
oct12616414465261
92553745271880
10740683836081
11266138796922
12bb671627269
1354b000bc527
1427bc663d997
1514400b1c556
hexac74326ab1

740683836081 has 48 divisors (see below), whose sum is σ = 1276164474624. Its totient is φ = 404754844032.

The previous prime is 740683836071. The next prime is 740683836133. The reversal of 740683836081 is 180638386047.

740683836081 is a `hidden beast` number, since 7 + 406 + 83 + 83 + 6 + 0 + 81 = 666.

It is not a de Polignac number, because 740683836081 - 218 = 740683573937 is a prime.

It is a super-3 number, since 3×7406838360813 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (740683836031) 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 47 ways as a sum of consecutive naturals, for example, 6663895 + ... + 6774131.

It is an arithmetic number, because the mean of its divisors is an integer number (26586759888).

Almost surely, 2740683836081 is an apocalyptic number.

It is an amenable number.

740683836081 is a deficient number, since it is larger than the sum of its proper divisors (535480638543).

740683836081 is a wasteful number, since it uses less digits than its factorization.

740683836081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114910 (or 114907 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 740683836081 in words is "seven hundred forty billion, six hundred eighty-three million, eight hundred thirty-six thousand, eighty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 4637 13911 32459 41733 97377 106651 110237 292131 319953 330711 746557 771659 959859 992133 2239671 2314977 2535451 6719013 6944931 7606353 17748157 22819059 53244471 159733413 511168969 1533506907 3578182783 4600520721 10734548349 11756886287 32203645047 35270658861 82298204009 105811976583 246894612027 740683836081