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1058383333812 = 2237293071415231
BaseRepresentation
bin11110110011011001001…
…00000000100110110100
310202011212112222002010210
433121230210000212310
5114320032113140222
62130114203545420
7136315503621150
oct17315444004664
93664775862123
101058383333812
113789488887a2
1215115652b270
1378a60b060cc
1439324308060
151c7e70c6d0c
hexf66c9009b4

1058383333812 has 96 divisors (see below), whose sum is σ = 2929190584320. Its totient is φ = 291016575360.

The previous prime is 1058383333793. The next prime is 1058383333823. The reversal of 1058383333812 is 2183333838501.

It is a super-2 number, since 2×10583833338122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40237 + ... + 1455467.

It is an arithmetic number, because the mean of its divisors is an integer number (30512401920).

Almost surely, 21058383333812 is an apocalyptic number.

1058383333812 is a gapful number since it is divisible by the number (12) 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 1058383333812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464595292160).

1058383333812 is an abundant number, since it is smaller than the sum of its proper divisors (1870807250508).

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

1058383333812 is a wasteful number, since it uses less digits than its factorization.

1058383333812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415581 (or 1415579 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1058383333812 in words is "one trillion, fifty-eight billion, three hundred eighty-three million, three hundred thirty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 307 348 406 609 614 812 921 1218 1228 1842 2149 2436 3684 4298 6447 8596 8903 12894 17806 25788 26709 35612 53418 62321 106836 124642 186963 249284 373926 747852 1415231 2830462 4245693 5660924 8491386 9906617 16982772 19813234 29719851 39626468 41041699 59439702 82083398 118879404 123125097 164166796 246250194 287291893 434475917 492500388 574583786 861875679 868951834 1149167572 1303427751 1723751358 1737903668 2606855502 3041331419 3447502716 5213711004 6082662838 9123994257 12165325676 12599801593 18247988514 25199603186 36495977028 37799404779 50399206372 75598809558 88198611151 151197619116 176397222302 264595833453 352794444604 529191666906 1058383333812