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74436754561 = 1323126772
BaseRepresentation
bin100010101010011000…
…1101011110010000001
321010010121212220221121
41011110301223302001
52204421302121221
654110141552241
75243416655101
oct1052461536201
9233117786847
1074436754561
1129628675484
1212514875681
1370336a8c00
143861d7b201
151e09da9a41
hex1154c6bc81

74436754561 has 27 divisors (see below), whose sum is σ = 83410293033. Its totient is φ = 66396152160.

The previous prime is 74436754519. The next prime is 74436754583. The reversal of 74436754561 is 16545763447.

The square root of 74436754561 is 272831.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7272848961 + 67163905600 = 85281^2 + 259160^2 .

It is not a de Polignac number, because 74436754561 - 27 = 74436754433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 74436754499 and 74436754508.

It is not an unprimeable number, because it can be changed into a prime (74436754501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109950555 + ... + 109951231.

Almost surely, 274436754561 is an apocalyptic number.

74436754561 is the 272831-st square number.

74436754561 is the 136416-th centered octagonal number.

It is an amenable number.

74436754561 is a deficient number, since it is larger than the sum of its proper divisors (8973538472).

74436754561 is an frugal number, since it uses more digits than its factorization.

74436754561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 721 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 52.

The spelling of 74436754561 in words is "seventy-four billion, four hundred thirty-six million, seven hundred fifty-four thousand, five hundred sixty-one".

Divisors: 1 13 31 169 403 677 961 5239 8801 12493 20987 114413 162409 272831 458329 650597 3546803 5958277 8457761 14208199 77457601 109950893 184706587 440454169 2401185631 5725904197 74436754561