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58204457536 = 265325692
BaseRepresentation
bin110110001101010000…
…011000101001000000
312120020100221210112111
4312031100120221000
51423200320120121
642423323305104
74130234504011
oct661520305100
9176210853474
1058204457536
1122758998475
12b34467b194
13564776b024
142b6221b008
1517a9cca2e1
hexd8d418a40

58204457536 has 63 divisors (see below), whose sum is σ = 117927075931. Its totient is φ = 28502948864.

The previous prime is 58204457533. The next prime is 58204457537. The reversal of 58204457536 is 63575440285.

The square root of 58204457536 is 241256.

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 1110222400 + 57094235136 = 33320^2 + 238944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58204457536.

It is not an unprimeable number, because it can be changed into a prime (58204457533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102292260 + ... + 102292828.

Almost surely, 258204457536 is an apocalyptic number.

58204457536 is the 241256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58204457536

58204457536 is an abundant number, since it is smaller than the sum of its proper divisors (59722618395).

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

58204457536 is an frugal number, since it uses more digits than its factorization.

58204457536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 49.

Multiplying 58204457536 by its sum of digits (49), we get a square (2852018419264 = 16887922).

The spelling of 58204457536 in words is "fifty-eight billion, two hundred four million, four hundred fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 569 848 1138 1696 2276 2809 3392 4552 5618 9104 11236 18208 22472 30157 36416 44944 60314 89888 120628 179776 241256 323761 482512 647522 965024 1295044 1598321 1930048 2590088 3196642 5180176 6393284 10360352 12786568 17159333 20720704 25573136 34318666 51146272 68637332 102292544 137274664 274549328 549098656 909444649 1098197312 1818889298 3637778596 7275557192 14551114384 29102228768 58204457536