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54782211136 = 2617217212
BaseRepresentation
bin110011000001010001…
…100011010001000000
312020101212101200000211
4303001101203101000
51344143221224021
641055552523504
73646361053162
oct630121432100
9166355350024
1054782211136
1121262148064
12a74a550594
135220756463
1429198dc932
15165962b3e1
hexcc1463440

54782211136 has 63 divisors (see below), whose sum is σ = 115546357807. Its totient is φ = 25764884480.

The previous prime is 54782211097. The next prime is 54782211151. The reversal of 54782211136 is 63111228745.

The square root of 54782211136 is 234056.

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 14679745600 + 40102465536 = 121160^2 + 200256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31830756 + ... + 31832476.

Almost surely, 254782211136 is an apocalyptic number.

54782211136 is the 234056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54782211136

54782211136 is an abundant number, since it is smaller than the sum of its proper divisors (60764146671).

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

54782211136 is an frugal number, since it uses more digits than its factorization.

54782211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 1740 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The spelling of 54782211136 in words is "fifty-four billion, seven hundred eighty-two million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 1721 2312 3442 4624 6884 9248 13768 18496 27536 29257 55072 58514 110144 117028 234056 468112 497369 936224 994738 1872448 1989476 2961841 3978952 5923682 7957904 11847364 15915808 23694728 31831616 47389456 50351297 94778912 100702594 189557824 201405188 402810376 805620752 855972049 1611241504 1711944098 3222483008 3423888196 6847776392 13695552784 27391105568 54782211136