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58248229872 = 2437647267941
BaseRepresentation
bin110110001111110111…
…010111001111110000
312120100102022122220010
4312033313113033300
51423243021323442
642431525414520
74131305533110
oct661767271760
9176312278803
1058248229872
1122780675258
12b35726a440
135653855911
142b67d73040
1517ada74b9c
hexd8fdd73f0

58248229872 has 80 divisors (see below), whose sum is σ = 172237404672. Its totient is φ = 16616567040.

The previous prime is 58248229849. The next prime is 58248229873. The reversal of 58248229872 is 27892284285.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58248229873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83422 + ... + 351362.

Almost surely, 258248229872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58248229872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86118702336).

58248229872 is an abundant number, since it is smaller than the sum of its proper divisors (113989174800).

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

58248229872 is a wasteful number, since it uses less digits than its factorization.

58248229872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268606 (or 268600 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The spelling of 58248229872 in words is "fifty-eight billion, two hundred forty-eight million, two hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 647 1294 1941 2588 3882 4529 5176 7764 9058 10352 13587 15528 18116 27174 31056 36232 54348 72464 108696 217392 267941 535882 803823 1071764 1607646 1875587 2143528 3215292 3751174 4287056 5626761 6430584 7502348 11253522 12861168 15004696 22507044 30009392 45014088 90028176 173357827 346715654 520073481 693431308 1040146962 1213504789 1386862616 2080293924 2427009578 2773725232 3640514367 4160587848 4854019156 7281028734 8321175696 9708038312 14562057468 19416076624 29124114936 58248229872