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54921216483225 = 325255728872
BaseRepresentation
bin11000111110011010101111…
…00110010101111110011001
321012110102021000012001211100
430133031113212111332121
524144312122404430400
6312450243013422013
714365632641351061
oct1437152746257631
9235412230161740
1054921216483225
1116554a58a03404
1261b012433a909
1324850826c83a1
14d7c2b59d63a1
15653960aa7100
hex31f357995f99

54921216483225 has 81 divisors (see below), whose sum is σ = 98658151607197. Its totient is φ = 29205764201280.

The previous prime is 54921216483187. The next prime is 54921216483229. The reversal of 54921216483225 is 52238461212945.

The square root of 54921216483225 is 7410885.

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

54921216483225 is a `hidden beast` number, since 5 + 49 + 21 + 216 + 48 + 322 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18882614140569 + 36038602342656 = 4345413^2 + 6003216^2 .

It is not a de Polignac number, because 54921216483225 - 231 = 54919068999577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54921216483229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61917943732 + ... + 61917944618.

Almost surely, 254921216483225 is an apocalyptic number.

54921216483225 is the 7410885-th square number.

54921216483225 is the 3705443-rd centered octagonal number.

It is an amenable number.

54921216483225 is a deficient number, since it is larger than the sum of its proper divisors (43736935123972).

54921216483225 is an frugal number, since it uses more digits than its factorization.

54921216483225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 1452 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 54921216483225 in words is "fifty-four trillion, nine hundred twenty-one billion, two hundred sixteen million, four hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 557 887 1671 2661 2785 4435 5013 7983 8355 13305 13925 22175 25065 39915 41775 66525 125325 199575 310249 494059 786769 930747 1482177 1551245 2360307 2470295 2792241 3933845 4446531 4653735 7080921 7410885 7756225 11801535 12351475 13961205 19669225 22232655 23268675 35404605 37054425 59007675 69806025 111163275 177023025 275190863 438230333 825572589 1314690999 1375954315 2191151665 2476717767 3944072997 4127862945 6573454995 6879771575 10955758325 12383588835 19720364985 20639314725 32867274975 61917944175 98601824925 244094295481 732282886443 1220471477405 2196848659329 3661414432215 6102357387025 10984243296645 18307072161075 54921216483225