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1358305328860 = 225434779425377
BaseRepresentation
bin10011110001000001010…
…011100111111011011100
311210212000122010001012121
4103301001103213323130
5134223302131010420
62515555153112324
7200064033540034
oct23610123477334
94725018101177
101358305328860
11484065a46797
1219b2b98586a4
139b11a72272c
1449a56d428c4
15254ec9c82aa
hex13c414e7edc

1358305328860 has 96 divisors (see below), whose sum is σ = 3018618408960. Its totient is φ = 512819693568.

The previous prime is 1358305328857. The next prime is 1358305328873. The reversal of 1358305328860 is 688235038531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1358305328798 and 1358305328807.

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, 2980492 + ... + 3405868.

It is an arithmetic number, because the mean of its divisors is an integer number (31443941760).

Almost surely, 21358305328860 is an apocalyptic number.

1358305328860 is a gapful number since it is divisible by the number (10) 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 1358305328860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509309204480).

1358305328860 is an abundant number, since it is smaller than the sum of its proper divisors (1660313080100).

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

1358305328860 is a wasteful number, since it uses less digits than its factorization.

1358305328860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425555 (or 425553 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 1358305328860 in words is "one trillion, three hundred fifty-eight billion, three hundred five million, three hundred twenty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 43 47 79 86 94 158 172 188 215 235 316 395 430 470 790 860 940 1580 2021 3397 3713 4042 6794 7426 8084 10105 13588 14852 16985 18565 20210 33970 37130 40420 67940 74260 159659 319318 425377 638636 798295 850754 1596590 1701508 2126885 3193180 4253770 8507540 18291211 19992719 33604783 36582422 39985438 67209566 73164844 79970876 91456055 99963595 134419132 168023915 182912110 199927190 336047830 365824220 399854380 672095660 859686917 1445005669 1579424801 1719373834 2890011338 3158849602 3438747668 4298434585 5780022676 6317699204 7225028345 7897124005 8596869170 14450056690 15794248010 17193738340 28900113380 31588496020 67915266443 135830532886 271661065772 339576332215 679152664430 1358305328860