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1918157922 = 236312372
BaseRepresentation
bin111001001010100…
…1100010001100010
311221200100112000000
41302111030101202
512412022023142
6514200440430
765351034102
oct16225142142
94850315000
101918157922
118a482848a
12456479116
132475206b5
14142a73202
15b35e814c
hex7254c462

1918157922 has 126 divisors (see below), whose sum is σ = 4581258129. Its totient is φ = 602037360.

The previous prime is 1918157921. The next prime is 1918157929. The reversal of 1918157922 is 2297518191.

It can be written as a sum of positive squares in 2 ways, for example, as 1547556921 + 370601001 = 39339^2 + 19251^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=30969.

It is not an unprimeable number, because it can be changed into a prime (1918157921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 51842088 + ... + 51842124.

Almost surely, 21918157922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918157922

1918157922 is an abundant number, since it is smaller than the sum of its proper divisors (2663100207).

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

1918157922 is an frugal number, since it uses more digits than its factorization.

1918157922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 73 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 1918157922 is about 43796.7798131324. The cubic root of 1918157922 is about 1242.4953915408.

The spelling of 1918157922 in words is "one billion, nine hundred eighteen million, one hundred fifty-seven thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 81 93 111 162 186 222 243 279 333 486 558 666 729 837 961 999 1147 1369 1458 1674 1922 1998 2294 2511 2738 2883 2997 3441 4107 5022 5766 5994 6882 7533 8214 8649 8991 10323 12321 15066 17298 17982 20646 22599 24642 25947 26973 30969 35557 36963 42439 45198 51894 53946 61938 71114 73926 77841 84878 92907 106671 110889 127317 155682 185814 213342 221778 233523 254634 278721 320013 332667 381951 467046 557442 640026 665334 700569 763902 836163 960039 998001 1145853 1315609 1401138 1672326 1920078 1996002 2291706 2631218 2880117 3437559 3946827 5760234 6875118 7893654 8640351 10312677 11840481 17280702 20625354 23680962 25921053 30938031 35521443 51842106 61876062 71042886 106564329 213128658 319692987 639385974 959078961 1918157922