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19920519918 = 23313103275503
BaseRepresentation
bin10010100011010110…
…110000001011101110
31220102021222021002000
4102203112300023232
5311244123114133
613052405513130
71303435424355
oct224326601356
956367867060
1019920519918
1184a2683502
123a3b4127a6
131b5609a0c0
14d6d91699c
157b8cbb413
hex4a35b02ee

19920519918 has 64 divisors (see below), whose sum is σ = 48136058880. Its totient is φ = 6069860064.

The previous prime is 19920519893. The next prime is 19920519943. The reversal of 19920519918 is 81991502991.

19920519918 is a `hidden beast` number, since 1 + 99 + 20 + 519 + 9 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (19920519893) and next prime (19920519943).

It is a super-2 number, since 2×199205199182 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 65446 + ... + 210057.

It is an arithmetic number, because the mean of its divisors is an integer number (752125920).

Almost surely, 219920519918 is an apocalyptic number.

19920519918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

19920519918 is an abundant number, since it is smaller than the sum of its proper divisors (28215538962).

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

19920519918 is a wasteful number, since it uses less digits than its factorization.

19920519918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275630 (or 275624 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 54.

The spelling of 19920519918 in words is "nineteen billion, nine hundred twenty million, five hundred nineteen thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 103 117 206 234 309 351 618 702 927 1339 1854 2678 2781 4017 5562 8034 12051 24102 36153 72306 275503 551006 826509 1653018 2479527 3581539 4959054 7163078 7438581 10744617 14877162 21489234 28376809 32233851 56753618 64467702 85130427 96701553 170260854 193403106 255391281 368898517 510782562 737797034 766173843 1106695551 1532347686 2213391102 3320086653 6640173306 9960259959 19920519918