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58545630312 = 23313279182713
BaseRepresentation
bin110110100001100101…
…110110110001101000
312121010010221011121020
4312201211312301220
51424400140132222
642521232012440
74141546434561
oct664145666150
9177103834536
1058545630312
1122913533644
12b41a991120
1356a0353400
142b9566b168
1517c9c1d65c
hexda1976c68

58545630312 has 96 divisors (see below), whose sum is σ = 160495977600. Its totient is φ = 17785916928.

The previous prime is 58545630307. The next prime is 58545630343. The reversal of 58545630312 is 21303654585.

58545630312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229068 + ... + 411780.

It is an arithmetic number, because the mean of its divisors is an integer number (1671833100).

Almost surely, 258545630312 is an apocalyptic number.

58545630312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58545630312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80247988800).

58545630312 is an abundant number, since it is smaller than the sum of its proper divisors (101950347288).

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

58545630312 is a wasteful number, since it uses less digits than its factorization.

58545630312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182827 (or 182810 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 58545630312 in words is "fifty-eight billion, five hundred forty-five million, six hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 169 237 312 316 338 474 507 632 676 948 1014 1027 1352 1896 2028 2054 3081 4056 4108 6162 8216 12324 13351 24648 26702 40053 53404 80106 106808 160212 182713 320424 365426 548139 730852 1096278 1461704 2192556 2375269 4385112 4750538 7125807 9501076 14251614 14434327 19002152 28503228 28868654 30878497 43302981 57006456 57737308 61756994 86605962 92635491 115474616 123513988 173211924 185270982 187646251 247027976 346423848 370541964 375292502 562938753 741083928 750585004 1125877506 1501170008 2251755012 2439401263 4503510024 4878802526 7318203789 9757605052 14636407578 19515210104 29272815156 58545630312