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34146555894 = 23211444138833
BaseRepresentation
bin11111110011010010…
…110001011111110110
310021010201202202201100
4133303102301133312
51024413004242034
623404155110530
72316116636043
oct376322613766
9107121682640
1034146555894
1113532927930
12674b742446
1332b247ab79
14191d02c1ca
15d4cb9d099
hex7f34b17f6

34146555894 has 48 divisors (see below), whose sum is σ = 80730293904. Its totient is φ = 10344844800.

The previous prime is 34146555889. The next prime is 34146555917. The reversal of 34146555894 is 49855564143.

34146555894 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 6 + 55 + 589 + 4 = 666.

It is a super-2 number, since 2×341465558942 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34146555894.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859902 + ... + 898734.

It is an arithmetic number, because the mean of its divisors is an integer number (1681881123).

Almost surely, 234146555894 is an apocalyptic number.

34146555894 is an abundant number, since it is smaller than the sum of its proper divisors (46583738010).

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

34146555894 is a wasteful number, since it uses less digits than its factorization.

34146555894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43293 (or 43290 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 34146555894 in words is "thirty-four billion, one hundred forty-six million, five hundred fifty-five thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 4441 8882 13323 26646 38833 39969 48851 77666 79938 97702 116499 146553 232998 293106 349497 427163 439659 698994 854326 879318 1281489 2562978 3844467 7688934 172457353 344914706 517372059 1034744118 1552116177 1897030883 3104232354 3794061766 5691092649 11382185298 17073277947 34146555894