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54922787602081 = 7223219122412
BaseRepresentation
bin11000111110011101101010…
…01111101011111010100001
321012110120022111112011201121
430133032311033223322201
524144323332111231311
6312451102540132241
714366016606552400
oct1437166517537241
9235416274464647
1054922787602081
1116555694849243
1261b04a2537081
13248527305b509
14d7c3c452d637
15653a0399db71
hex31f3b53ebea1

54922787602081 has 81 divisors (see below), whose sum is σ = 67419616905459. Its totient is φ = 44608237027200.

The previous prime is 54922787602057. The next prime is 54922787602093. The reversal of 54922787602081 is 18020678722945.

It is a happy number.

The square root of 54922787602081 is 7410991.

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., 41305801987681 + 13616985614400 = 6426959^2 + 3690120^2 .

It is not a de Polignac number, because 54922787602081 - 211 = 54922787600033 is a prime.

It is a super-2 number, since 2×549227876020812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54922787602481) 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, 227895384121 + ... + 227895384361.

Almost surely, 254922787602081 is an apocalyptic number.

54922787602081 is the 7410991-st square number.

54922787602081 is the 3705496-th centered octagonal number.

It is an amenable number.

54922787602081 is a deficient number, since it is larger than the sum of its proper divisors (12496829303378).

54922787602081 is an frugal number, since it uses more digits than its factorization.

54922787602081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 54922787602081 in words is "fifty-four trillion, nine hundred twenty-two billion, seven hundred eighty-seven million, six hundred two thousand, eighty-one".

Divisors: 1 7 23 49 161 191 241 529 1127 1337 1687 3703 4393 5543 9359 11809 25921 30751 36481 38801 46031 58081 101039 127489 215257 255367 271607 322217 406567 707273 839063 892423 1058713 1335863 1787569 2255519 2845969 4950911 5873441 6246961 7410991 8791921 9351041 11093471 19298449 24350399 30724849 41114087 51876937 61543447 65457287 77654297 135089143 170452793 202214183 215073943 255149833 430804129 543580079 945624001 1193169551 1415499281 1505517601 1786048831 2118852961 4650926209 5868446159 9908494967 12502341817 14831970727 32556483463 41079123113 48733618103 103823795089 227895384241 287553861791 341135326721 1120873216369 2387947287047 7846112514583 54922787602081