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1918988412 = 22311312771693
BaseRepresentation
bin111001001100001…
…0111000001111100
311221201220201012220
41302120113001330
512412230112122
6514230325340
765361063255
oct16230270174
94851821186
101918988412
118a5245440
124567b9850
13247751703
14142c0bb2c
15b370e25c
hex7261707c

1918988412 has 96 divisors (see below), whose sum is σ = 5063460864. Its totient is φ = 560390400.

The previous prime is 1918988411. The next prime is 1918988419. The reversal of 1918988412 is 2148898191.

It is a super-3 number, since 3×19189884123 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918988411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132638 + ... + 1134330.

It is an arithmetic number, because the mean of its divisors is an integer number (52744384).

Almost surely, 21918988412 is an apocalyptic number.

1918988412 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 1918988412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531730432).

1918988412 is an abundant number, since it is smaller than the sum of its proper divisors (3144472452).

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

1918988412 is a wasteful number, since it uses less digits than its factorization.

1918988412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2017 counting only the distinct ones).

The product of its digits is 331776, while the sum is 51.

The square root of 1918988412 is about 43806.2599636171. The cubic root of 1918988412 is about 1242.6746835411.

The spelling of 1918988412 in words is "one billion, nine hundred eighteen million, nine hundred eighty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 277 341 372 554 682 831 1023 1108 1364 1662 1693 2046 3047 3324 3386 4092 5079 6094 6772 8587 9141 10158 12188 17174 18282 18623 20316 25761 34348 36564 37246 51522 52483 55869 74492 94457 103044 104966 111738 157449 188914 209932 223476 283371 314898 377828 468961 566742 577313 629796 937922 1133484 1154626 1406883 1731939 1875844 2309252 2813766 3463878 5158571 5627532 6927756 10317142 14537791 15475713 20634284 29075582 30951426 43613373 58151164 61902852 87226746 159915701 174453492 319831402 479747103 639662804 959494206 1918988412