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1916775564 = 2231123769821
BaseRepresentation
bin111001000111111…
…1010110010001100
311221120202021202120
41302033322302030
512411143304224
6514111052540
765333215644
oct16217726214
94846667676
101916775564
118a3a73940
12455b11150
13247158432
141427d3524
15b3423779
hex723fac8c

1916775564 has 96 divisors (see below), whose sum is σ = 5104028160. Its totient is φ = 554188800.

The previous prime is 1916775563. The next prime is 1916775577. The reversal of 1916775564 is 4655776191.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1916775563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334274 + ... + 2335094.

It is an arithmetic number, because the mean of its divisors is an integer number (53166960).

Almost surely, 21916775564 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 1916775564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552014080).

1916775564 is an abundant number, since it is smaller than the sum of its proper divisors (3187252596).

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

1916775564 is a wasteful number, since it uses less digits than its factorization.

1916775564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 51.

The square root of 1916775564 is about 43780.9954660695. The cubic root of 1916775564 is about 1242.1968436144.

The spelling of 1916775564 in words is "one billion, nine hundred sixteen million, seven hundred seventy-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 769 821 1012 1518 1538 1642 2307 2463 3036 3076 3284 4614 4926 8459 9031 9228 9852 16918 17687 18062 18883 25377 27093 33836 35374 36124 37766 50754 53061 54186 56649 70748 75532 101508 106122 108372 113298 194557 207713 212244 226596 389114 415426 583671 623139 631349 778228 830852 1167342 1246278 1262698 1894047 2334684 2492556 2525396 3788094 6944839 7576188 13889678 14521027 20834517 27779356 29042054 41669034 43563081 58084108 83338068 87126162 159731297 174252324 319462594 479193891 638925188 958387782 1916775564