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29142655209684 = 2232953849441973
BaseRepresentation
bin1101010000001010011011…
…00111001001000011010100
310211012000021202012211200200
412220011031213021003110
512304433124213202214
6141551541224540500
76065326110043452
oct650051547110324
9124160252184620
1029142655209684
119316370133675
123328060321730
1313351a9b690b3
1472a7250659d2
1535810241cd09
hex1a814d9c90d4

29142655209684 has 36 divisors (see below), whose sum is σ = 73743455530836. Its totient is φ = 9704025088128.

The previous prime is 29142655209649. The next prime is 29142655209749. The reversal of 29142655209684 is 48690255624192.

29142655209684 is a `hidden beast` number, since 2 + 9 + 1 + 4 + 26 + 5 + 520 + 9 + 6 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18181457216784 + 10961197992900 = 4263972^2 + 3310770^2 .

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

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, 424686679 + ... + 424755294.

It is an arithmetic number, because the mean of its divisors is an integer number (2048429320301).

Almost surely, 229142655209684 is an apocalyptic number.

It is an amenable number.

29142655209684 is an abundant number, since it is smaller than the sum of its proper divisors (44600800321152).

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

29142655209684 is a wasteful number, since it uses less digits than its factorization.

29142655209684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849442936 (or 849442931 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 29142655209684 in words is "twenty-nine trillion, one hundred forty-two billion, six hundred fifty-five million, two hundred nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 953 1906 2859 3812 5718 8577 11436 17154 34308 849441973 1698883946 2548325919 3397767892 5096651838 7644977757 10193303676 15289955514 30579911028 809518200269 1619036400538 2428554600807 3238072801076 4857109201614 7285663802421 9714218403228 14571327604842 29142655209684