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18419510952 = 23321289198469
BaseRepresentation
bin10001001001111000…
…110110111010101000
31202112200120002212100
4101021320312322220
5300210343322302
612243430013400
71221311155053
oct211170667250
952480502770
1018419510952
1178a2374227
1236a07a7260
13197711380b
14c6a42da9a
1572c122d1c
hex449e36ea8

18419510952 has 48 divisors (see below), whose sum is σ = 49925128500. Its totient is φ = 6135042816.

The previous prime is 18419510939. The next prime is 18419510953. The reversal of 18419510952 is 25901591481.

18419510952 is a `hidden beast` number, since 1 + 8 + 41 + 9 + 510 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17772622596 + 646888356 = 133314^2 + 25434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18419510898 and 18419510907.

It is not an unprimeable number, because it can be changed into a prime (18419510953) 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 11 ways as a sum of consecutive naturals, for example, 6427 + ... + 192042.

Almost surely, 218419510952 is an apocalyptic number.

18419510952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18419510952 is an abundant number, since it is smaller than the sum of its proper divisors (31505617548).

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

18419510952 is a wasteful number, since it uses less digits than its factorization.

18419510952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199770 (or 199763 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 18419510952 in words is "eighteen billion, four hundred nineteen million, five hundred ten thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1289 2578 3867 5156 7734 10312 11601 15468 23202 30936 46404 92808 198469 396938 595407 793876 1190814 1587752 1786221 2381628 3572442 4763256 7144884 14289768 255826541 511653082 767479623 1023306164 1534959246 2046612328 2302438869 3069918492 4604877738 6139836984 9209755476 18419510952