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74960046254809 = 172113245072
BaseRepresentation
bin10001000010110011111110…
…111011011110101011011001
3100211102002222111201100101101
4101002303332323132223121
534311121133320123214
6423232100404351401
721534453553123102
oct2102637673365331
9324362874640341
1074960046254809
11219804169a7561
1284a79139a5561
1332a9918492211
14147212ac413a9
1589ed3981a774
hex442cfeedead9

74960046254809 has 27 divisors (see below), whose sum is σ = 80357583657117. Its totient is φ = 69910774854144.

The previous prime is 74960046254791. The next prime is 74960046254837. The reversal of 74960046254809 is 90845264006947.

The square root of 74960046254809 is 8657947.

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 9145767494809 + 65814278760000 = 3024197^2 + 8112600^2 .

It is not a de Polignac number, because 74960046254809 - 211 = 74960046252761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74960046254609) 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, 16631913934 + ... + 16631918440.

Almost surely, 274960046254809 is an apocalyptic number.

74960046254809 is the 8657947-th square number.

74960046254809 is the 4328974-th centered octagonal number.

It is an amenable number.

74960046254809 is a deficient number, since it is larger than the sum of its proper divisors (5397537402308).

74960046254809 is an frugal number, since it uses more digits than its factorization.

74960046254809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 74960046254809 in words is "seventy-four trillion, nine hundred sixty billion, forty-six million, two hundred fifty-four thousand, eight hundred nine".

Divisors: 1 17 113 289 1921 4507 12769 32657 76619 217073 509291 1302523 3690241 8657947 20313049 57549883 147185099 345321833 978348011 2295374537 5870471161 16631916187 39021367129 259377322681 663363241193 4409414485577 74960046254809