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58051886415168 = 2632713972810317
BaseRepresentation
bin11010011001100010000100…
…00100010111110101000000
321121112201001202222122202110
431030301002010113311000
530102110230410241133
6323244400215215320
715141052601612652
oct1514610204276500
9247481052878673
1058051886415168
1117551737520a78
126616a17377540
132651366b42239
141049a24d466d2
156aa0e1d92c63
hex34cc42117d40

58051886415168 has 112 divisors (see below), whose sum is σ = 154550762987264. Its totient is φ = 19230655150080.

The previous prime is 58051886415151. The next prime is 58051886415221. The reversal of 58051886415168 is 86151468815085.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58051886415099 and 58051886415108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19251546 + ... + 22061862.

It is an arithmetic number, because the mean of its divisors is an integer number (1379917526672).

Almost surely, 258051886415168 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 58051886415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77275381493632).

58051886415168 is an abundant number, since it is smaller than the sum of its proper divisors (96498876572096).

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

58051886415168 is a wasteful number, since it uses less digits than its factorization.

58051886415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811000 (or 2810990 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 66.

The spelling of 58051886415168 in words is "fifty-eight trillion, fifty-one billion, eight hundred eighty-six million, four hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 397 542 794 813 1084 1191 1588 1626 2168 2382 3176 3252 4336 4764 6352 6504 8672 9528 12704 13008 17344 19056 25408 26016 38112 52032 76224 107587 215174 322761 430348 645522 860696 1291044 1721392 2582088 2810317 3442784 5164176 5620634 6885568 8430951 10328352 11241268 16861902 20656704 22482536 33723804 44965072 67447608 89930144 134895216 179860288 269790432 539580864 761595907 1115695849 1523191814 2231391698 2284787721 3046383628 3347087547 4462783396 4569575442 6092767256 6694175094 8925566792 9139150884 12185534512 13388350188 17851133584 18278301768 24371069024 26776700376 35702267168 36556603536 48742138048 53553400752 71404534336 73113207072 107106801504 146226414144 214213603008 302353575079 604707150158 907060725237 1209414300316 1814121450474 2418828600632 3628242900948 4837657201264 7256485801896 9675314402528 14512971603792 19350628805056 29025943207584 58051886415168