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1395211916 = 227317397227
BaseRepresentation
bin101001100101001…
…0011111010001100
310121020100002221102
41103022103322030
510324133240131
6350240122232
746401051140
oct12312237214
93536302842
101395211916
116566193aa
1232b306378
131930932a7
14d3427220
158274b1cb
hex53293e8c

1395211916 has 96 divisors (see below), whose sum is σ = 2962993152. Its totient is φ = 562360320.

The previous prime is 1395211897. The next prime is 1395211921. The reversal of 1395211916 is 6191125931.

It is a super-3 number, since 3×13952119163 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1395211916.

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, 6146195 + ... + 6146421.

It is an arithmetic number, because the mean of its divisors is an integer number (30864512).

Almost surely, 21395211916 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 1395211916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481496576).

1395211916 is an abundant number, since it is smaller than the sum of its proper divisors (1567781236).

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

1395211916 is a wasteful number, since it uses less digits than its factorization.

1395211916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its digits is 14580, while the sum is 38.

The square root of 1395211916 is about 37352.5356033563. The cubic root of 1395211916 is about 1117.4121576457.

The spelling of 1395211916 in words is "one billion, three hundred ninety-five million, two hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 31 62 73 97 124 146 194 217 227 292 388 434 454 511 679 868 908 1022 1358 1589 2044 2263 2716 3007 3178 4526 6014 6356 7037 7081 9052 12028 14074 14162 15841 16571 21049 22019 28148 28324 31682 33142 42098 44038 49259 49567 63364 66284 84196 88076 98518 99134 115997 154133 197036 198268 219511 231994 308266 439022 463988 513701 616532 682589 878044 1027402 1365178 1536577 1607387 2054804 2730356 3073154 3214774 3595907 4778123 6146308 6429548 7191814 9556246 11251709 14383628 19112492 22503418 45006836 49828997 99657994 199315988 348802979 697605958 1395211916