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58175510416 = 2417235472
BaseRepresentation
bin110110001011100001…
…111101011110010000
312120011100111010112221
4312023201331132100
51423120412313131
642420411030424
74126433452042
oct661341753620
9176140433487
1058175510416
1122743617031
12b336a3b414
13564177435a
142b5c443a92
1517a74ad411
hexd8b87d790

58175510416 has 45 divisors (see below), whose sum is σ = 119769132369. Its totient is φ = 27368992512.

The previous prime is 58175510387. The next prime is 58175510423. The reversal of 58175510416 is 61401557185.

The square root of 58175510416 is 241196.

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., 45292352400 + 12883158016 = 212820^2 + 113504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16399555 + ... + 16403101.

Almost surely, 258175510416 is an apocalyptic number.

58175510416 is the 241196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58175510416

58175510416 is an abundant number, since it is smaller than the sum of its proper divisors (61593621953).

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

58175510416 is an frugal number, since it uses more digits than its factorization.

58175510416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 43.

The spelling of 58175510416 in words is "fifty-eight billion, one hundred seventy-five million, five hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3547 4624 7094 14188 28376 56752 60299 120598 241196 482392 964784 1025083 2050166 4100332 8200664 12581209 16401328 25162418 50324836 100649672 201299344 213880553 427761106 855522212 1711044424 3422088848 3635969401 7271938802 14543877604 29087755208 58175510416