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54469958544 = 243621612
BaseRepresentation
bin110010101110101010…
…011001101110010000
312012121002211121000000
4302232222121232100
51343023302133134
641005000130000
73635550002601
oct625652315620
9165532747000
1054469958544
1121111965071
12a681a66900
1351a0b58701
1428ca259da8
15163beebe99
hexcaea99b90

54469958544 has 105 divisors (see below), whose sum is σ = 158304188289. Its totient is φ = 18148250880.

The previous prime is 54469958513. The next prime is 54469958561. The reversal of 54469958544 is 44585996445.

The square root of 54469958544 is 233388.

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

54469958544 is a `hidden beast` number, since 5 + 4 + 4 + 6 + 9 + 9 + 585 + 44 = 666.

54469958544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34146604944 + 20323353600 = 184788^2 + 142560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 25204824 + ... + 25206984.

Almost surely, 254469958544 is an apocalyptic number.

54469958544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54469958544 is the 233388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54469958544

54469958544 is an abundant number, since it is smaller than the sum of its proper divisors (103834229745).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54469958544 is an frugal number, since it uses more digits than its factorization.

54469958544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 2166 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 54469958544 in words is "fifty-four billion, four hundred sixty-nine million, nine hundred fifty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2161 2916 3888 4322 5832 6483 8644 11664 12966 17288 19449 25932 34576 38898 51864 58347 77796 103728 116694 155592 175041 233388 311184 350082 466776 525123 700164 933552 1050246 1400328 1575369 2100492 2800656 3150738 4200984 4669921 6301476 8401968 9339842 12602952 14009763 18679684 25205904 28019526 37359368 42029289 56039052 74718736 84058578 112078104 126087867 168117156 224156208 252175734 336234312 378263601 504351468 672468624 756527202 1008702936 1134790803 1513054404 2017405872 2269581606 3026108808 3404372409 4539163212 6052217616 6808744818 9078326424 13617489636 18156652848 27234979272 54469958544