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114177218868 = 22331057196471
BaseRepresentation
bin110101001010101111…
…1100001100100110100
3101220201012120200102000
41222111133201210310
53332313332000433
6124241410015300
711151263230056
oct1522537414464
9356635520360
10114177218868
1144471077509
121a165877530
13a9c7a5a64b
145751ca98d6
152e83bc7113
hex1a957e1934

114177218868 has 24 divisors (see below), whose sum is σ = 296015012160. Its totient is φ = 38059072920.

The previous prime is 114177218867. The next prime is 114177218879. The reversal of 114177218868 is 868812771411.

114177218868 is a `hidden beast` number, since 1 + 1 + 417 + 7 + 218 + 8 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114177218867) 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 7 ways as a sum of consecutive naturals, for example, 528598128 + ... + 528598343.

It is an arithmetic number, because the mean of its divisors is an integer number (12333958840).

Almost surely, 2114177218868 is an apocalyptic number.

114177218868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114177218868 is an abundant number, since it is smaller than the sum of its proper divisors (181837793292).

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

114177218868 is a wasteful number, since it uses less digits than its factorization.

114177218868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057196484 (or 1057196476 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 54.

The spelling of 114177218868 in words is "one hundred fourteen billion, one hundred seventy-seven million, two hundred eighteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1057196471 2114392942 3171589413 4228785884 6343178826 9514768239 12686357652 19029536478 28544304717 38059072956 57088609434 114177218868