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1918142208 = 283492503
BaseRepresentation
bin111001001010100…
…1000011100000000
311221200022201110000
41302111020130000
512412021022313
6514200240000
765350640223
oct16225103400
94850281400
101918142208
118a48176a4
12456470000
132475164b8
14142a6b5ba
15b35e3673
hex72548700

1918142208 has 90 divisors (see below), whose sum is σ = 5719614824. Its totient is φ = 639373824.

The previous prime is 1918142203. The next prime is 1918142209. The reversal of 1918142208 is 8022418191.

It is a happy number.

It is a super-2 number, since 2×19181422082 = 7358539060222230528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918142203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25516 + ... + 66987.

Almost surely, 21918142208 is an apocalyptic number.

1918142208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1918142208 is an abundant number, since it is smaller than the sum of its proper divisors (3801472616).

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

1918142208 is an frugal number, since it uses more digits than its factorization.

1918142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92531 (or 92508 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1918142208 is about 43796.6004160140. The cubic root of 1918142208 is about 1242.4919985936.

The spelling of 1918142208 in words is "one billion, nine hundred eighteen million, one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 92503 185006 277509 370012 555018 740024 832527 1110036 1480048 1665054 2220072 2497581 2960096 3330108 4440144 4995162 5920192 6660216 7492743 8880288 9990324 11840384 13320432 14985486 17760576 19980648 23680768 26640864 29970972 35521152 39961296 53281728 59941944 71042304 79922592 106563456 119883888 159845184 213126912 239767776 319690368 479535552 639380736 959071104 1918142208