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12361128218748 = 2232536478578731
BaseRepresentation
bin1011001111100000110010…
…1010000001000001111100
31121202201020021112101110100
42303320030222001001330
53110011042310444443
642142342433041100
72414030165145141
oct263701452010174
947681207471410
1012361128218748
113a36363697651
1214778049b6190
136b885992961a
1430a3d337a3c8
1516681bdde3d3
hexb3e0ca8107c

12361128218748 has 36 divisors (see below), whose sum is σ = 31835735889048. Its totient is φ = 4042633127520.

The previous prime is 12361128218713. The next prime is 12361128218767. The reversal of 12361128218748 is 84781282116321.

12361128218748 is a `hidden beast` number, since 1 + 2 + 3 + 611 + 2 + 8 + 2 + 18 + 7 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12361128218694 and 12361128218703.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3239287458 + ... + 3239291273.

It is an arithmetic number, because the mean of its divisors is an integer number (884325996918).

Almost surely, 212361128218748 is an apocalyptic number.

12361128218748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12361128218748 is an abundant number, since it is smaller than the sum of its proper divisors (19474607670300).

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

12361128218748 is a wasteful number, since it uses less digits than its factorization.

12361128218748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478578794 (or 6478578789 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 12361128218748 in words is "twelve trillion, three hundred sixty-one billion, one hundred twenty-eight million, two hundred eighteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 6478578731 12957157462 19435736193 25914314924 38871472386 58307208579 77742944772 116614417158 233228834316 343364672743 686729345486 1030094018229 1373458690972 2060188036458 3090282054687 4120376072916 6180564109374 12361128218748