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34022956549218 = 23713219726339241
BaseRepresentation
bin1111011110001100101100…
…01111010100010001100010
311110110120012100011222201220
413233012112033110101202
513424413003334033333
6200205532551435510
710111035403012260
oct757062617242142
9143416170158656
1034022956549218
11a928066aa494a
123995a63385b96
1315ca4742c2700
14858a11507430
153e003635e8b3
hex1ef1963d4462

34022956549218 has 192 divisors, whose sum is σ = 84677737934592. Its totient is φ = 8923182428160.

The previous prime is 34022956549213. The next prime is 34022956549247. The reversal of 34022956549218 is 81294565922043.

It is not an unprimeable number, because it can be changed into a prime (34022956549213) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3681735078 + ... + 3681744318.

It is an arithmetic number, because the mean of its divisors is an integer number (441029885076).

Almost surely, 234022956549218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022956549218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42338868967296).

34022956549218 is an abundant number, since it is smaller than the sum of its proper divisors (50654781385374).

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

34022956549218 is a wasteful number, since it uses less digits than its factorization.

34022956549218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12109 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 34022956549218 in words is "thirty-four trillion, twenty-two billion, nine hundred fifty-six million, five hundred forty-nine thousand, two hundred eighteen".