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18848818681 = 7211217832
BaseRepresentation
bin10001100011011110…
…100010010111111001
31210122121101012100121
4101203132202113321
5302100244144211
612354203333241
71235043213100
oct214336422771
953577335317
1018848818681
117aa2737500
1237a0521221
131a15046c64
14cab463037
15754b75271
hex4637a25f9

18848818681 has 27 divisors (see below), whose sum is σ = 24114198213. Its totient is φ = 14679153720.

The previous prime is 18848818669. The next prime is 18848818771. The reversal of 18848818681 is 18681884881.

The square root of 18848818681 is 137291.

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

It is not a de Polignac number, because 18848818681 - 27 = 18848818553 is a prime.

It is a super-2 number, since 2×188488186812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18848818621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10570516 + ... + 10572298.

Almost surely, 218848818681 is an apocalyptic number.

18848818681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18848818681 is the 137291-st square number.

18848818681 is the 68646-th centered octagonal number.

It is an amenable number.

18848818681 is a deficient number, since it is larger than the sum of its proper divisors (5265379532).

18848818681 is an frugal number, since it uses more digits than its factorization.

18848818681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 1801 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 61.

The spelling of 18848818681 in words is "eighteen billion, eight hundred forty-eight million, eight hundred eighteen thousand, six hundred eighty-one".

Divisors: 1 7 11 49 77 121 539 847 1783 5929 12481 19613 87367 137291 215743 961037 1510201 3179089 10571407 22253623 34969979 155775361 244789853 384669769 1713528971 2692688383 18848818681