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1918634981904 = 24321154292
BaseRepresentation
bin11011111010110111100…
…011100111101000010000
320210102022222012200011100
4123322313203213220100
5222413331023410104
64025224142144400
7255421364155614
oct33726743475020
96712288180140
101918634981904
1167a763479483
1226ba16b82100
1310bc076ab554
1468c1070b344
1534d94c79139
hex1beb78e7a10

1918634981904 has 45 divisors (see below), whose sum is σ = 5369559696813. Its totient is φ = 639539453376.

The previous prime is 1918634981897. The next prime is 1918634981917. The reversal of 1918634981904 is 4091894368191.

The square root of 1918634981904 is 1385148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 401008095504 + 1517626886400 = 633252^2 + 1231920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16564062 + ... + 16679490.

Almost surely, 21918634981904 is an apocalyptic number.

1918634981904 is the 1385148-th square number.

It is an amenable number.

1918634981904 is an abundant number, since it is smaller than the sum of its proper divisors (3450924714909).

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

1918634981904 is an frugal number, since it uses more digits than its factorization.

1918634981904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230872 (or 115434 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 1918634981904 in words is "one trillion, nine hundred eighteen billion, six hundred thirty-four million, nine hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 115429 230858 346287 461716 692574 923432 1038861 1385148 1846864 2077722 2770296 4155444 5540592 8310888 16621776 13323854041 26647708082 39971562123 53295416164 79943124246 106590832328 119914686369 159886248492 213181664656 239829372738 319772496984 479658745476 639544993968 959317490952 1918634981904