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74982454696081 = 412127216632
BaseRepresentation
bin10001000011001000110110…
…100100111001100010010001
3100211111020211012011002221201
4101003020312210321202101
534312003031400233311
6423250244131151201
721536206061541502
oct2103106644714221
9324436735132851
1074982454696081
1121989975984109
1284b0128445501
1332aba79b1ca1a
141473254d42ba9
158a06ebc289c1
hex443236939891

74982454696081 has 27 divisors (see below), whose sum is σ = 77512440555963. Its totient is φ = 72533959051680.

The previous prime is 74982454696049. The next prime is 74982454696157. The reversal of 74982454696081 is 18069645428947.

The square root of 74982454696081 is 8659241.

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., 3613074854481 + 71369379841600 = 1900809^2 + 8448040^2 .

It is not a de Polignac number, because 74982454696081 - 25 = 74982454696049 is a prime.

It is a super-3 number, since 3×749824546960813 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 74982454695995 and 74982454696013.

It is not an unprimeable number, because it can be changed into a prime (74985454696081) 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 26 ways as a sum of consecutive naturals, for example, 45088667056 + ... + 45088668718.

Almost surely, 274982454696081 is an apocalyptic number.

74982454696081 is the 8659241-st square number.

74982454696081 is the 4329621-st centered octagonal number.

It is an amenable number.

74982454696081 is a deficient number, since it is larger than the sum of its proper divisors (2529985859882).

74982454696081 is an frugal number, since it uses more digits than its factorization.

74982454696081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 73.

The spelling of 74982454696081 in words is "seventy-four trillion, nine hundred eighty-two billion, four hundred fifty-four million, six hundred ninety-six thousand, eighty-one".

Divisors: 1 41 127 1663 1681 5207 16129 68183 211201 213487 661289 2765569 2795503 8659241 26822527 27112849 113388329 351227263 355028881 1099723607 4648921489 14400317783 44605862401 45088667887 590413029103 1828840358441 74982454696081