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21118482385225 = 522924127732
BaseRepresentation
bin1001100110101000001111…
…01001000000100101001001
32202202220111100101201112121
410303110013221000211021
510232001122442311400
6112525410305211241
74306521452312311
oct463240751004511
982686440351477
1021118482385225
116802330826665
122450aa1030b21
13ba2606217b14
145301d6240441
1526951822921a
hex133507a40949

21118482385225 has 81 divisors (see below), whose sum is σ = 27834684739069. Its totient is φ = 15893760601600.

The previous prime is 21118482385211. The next prime is 21118482385321. The reversal of 21118482385225 is 52258328481112.

The square root of 21118482385225 is 4595485.

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

It can be written as a sum of positive squares in 40 ways, for example, as 2604360122809 + 18514122262416 = 1613803^2 + 4302804^2 .

It is not a de Polignac number, because 21118482385225 - 213 = 21118482377033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27320157939 + ... + 27320158711.

Almost surely, 221118482385225 is an apocalyptic number.

21118482385225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21118482385225 is the 4595485-th square number.

21118482385225 is the 2297743-rd centered octagonal number.

It is an amenable number.

21118482385225 is a deficient number, since it is larger than the sum of its proper divisors (6716202353844).

21118482385225 is an frugal number, since it uses more digits than its factorization.

21118482385225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 848 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 52.

The spelling of 21118482385225 in words is "twenty-one trillion, one hundred eighteen billion, four hundred eighty-two million, three hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 29 41 145 205 725 773 841 1025 1189 1681 3865 4205 5945 8405 19325 21025 22417 29725 31693 34481 42025 48749 112085 158465 172405 243745 560425 597529 650093 792325 862025 919097 1218725 1299413 1413721 2987645 3250465 4595485 6497065 7068605 14938225 16252325 17328341 22977425 24498689 26653813 32485325 35343025 37682977 86641705 122493445 133269065 188414885 433208525 502521889 612467225 666345325 710461981 942074425 1004446249 1092806333 2512609445 3552309905 5022231245 5464031665 12563047225 17761549525 20603397449 25111156225 27320158325 29128941221 103016987245 145644706105 515084936225 728223530525 844739295409 4223696477045 21118482385225