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18257430741 = 3111015477777
BaseRepresentation
bin10001000000001110…
…100100100011010101
31202010101120120121120
4101000032210203111
5244342400240431
612215400034153
71214302413024
oct210016444325
952111516546
1018257430741
117819930a40
123656462959
13194c675274
14c52abc8bb
1571cca9196
hex4403a48d5

18257430741 has 16 divisors (see below), whose sum is σ = 26819201088. Its totient is φ = 10955552000.

The previous prime is 18257430739. The next prime is 18257430757. The reversal of 18257430741 is 14703475281.

It is a cyclic number.

It is not a de Polignac number, because 18257430741 - 21 = 18257430739 is a prime.

It is a super-4 number, since 4×182574307414 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18257430693 and 18257430702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18257430341) 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 15 ways as a sum of consecutive naturals, for example, 2735556 + ... + 2742221.

It is an arithmetic number, because the mean of its divisors is an integer number (1676200068).

Almost surely, 218257430741 is an apocalyptic number.

18257430741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18257430741 is a deficient number, since it is larger than the sum of its proper divisors (8561770347).

18257430741 is a wasteful number, since it uses less digits than its factorization.

18257430741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477892.

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 18257430741 in words is "eighteen billion, two hundred fifty-seven million, four hundred thirty thousand, seven hundred forty-one".

Divisors: 1 3 11 33 101 303 1111 3333 5477777 16433331 60255547 180766641 553255477 1659766431 6085810247 18257430741