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1999463058 = 2321729293769
BaseRepresentation
bin111011100101101…
…0110001010010010
312011100100020200100
41313023112022102
513043330304213
6530223233230
7100356104235
oct16713261222
95140306610
101999463058
1193671020a
12479748816
1325b319b48
1414d79941c
15ba808773
hex772d6292

1999463058 has 96 divisors (see below), whose sum is σ = 4767562800. Its totient is φ = 602800128.

The previous prime is 1999463057. The next prime is 1999463069. The reversal of 1999463058 is 8503649991.

It can be written as a sum of positive squares in 8 ways, for example, as 1689456609 + 310006449 = 41103^2 + 17607^2 .

It is a super-3 number, since 3×19994630583 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

1999463058 is a modest number, since divided by 63058 gives 19994 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1999462995 and 1999463013.

It is not an unprimeable number, because it can be changed into a prime (1999463051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2599698 + ... + 2600466.

Almost surely, 21999463058 is an apocalyptic number.

1999463058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1999463058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383781400).

1999463058 is an abundant number, since it is smaller than the sum of its proper divisors (2768099742).

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

1999463058 is a wasteful number, since it uses less digits than its factorization.

1999463058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 1999463058 is about 44715.3559529609. The cubic root of 1999463058 is about 1259.8082890485.

The spelling of 1999463058 in words is "one billion, nine hundred ninety-nine million, four hundred sixty-three thousand, fifty-eight".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 293 306 493 522 586 769 879 986 1479 1538 1758 2307 2637 2958 4437 4614 4981 5274 6921 8497 8874 9962 13073 13842 14943 16994 22301 25491 26146 29886 39219 44602 44829 50982 66903 76473 78438 89658 117657 133806 144449 152946 200709 225317 235314 288898 379117 401418 433347 450634 675951 758234 866694 1137351 1300041 1351902 2027853 2274702 2600082 3412053 3830389 4055706 6534193 6824106 7660778 11491167 13068386 19602579 22982334 34473501 39205158 58807737 68947002 111081281 117615474 222162562 333243843 666487686 999731529 1999463058