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34433807148 = 22321373576511
BaseRepresentation
bin100000000100011010…
…100011001100101100
310021212202021122100200
4200010122203030230
51031010023312043
623452455553500
72326205350206
oct400432431454
9107782248320
1034433807148
111366aa93a64
12680b98b890
133329b33c20
141949243776
15d67ede7d3
hex8046a332c

34433807148 has 36 divisors (see below), whose sum is σ = 93736476288. Its totient is φ = 10595017440.

The previous prime is 34433807147. The next prime is 34433807153. The reversal of 34433807148 is 84170833443.

34433807148 is a `hidden beast` number, since 34 + 433 + 80 + 71 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34433807143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36787788 + ... + 36788723.

It is an arithmetic number, because the mean of its divisors is an integer number (2603791008).

Almost surely, 234433807148 is an apocalyptic number.

It is an amenable number.

34433807148 is an abundant number, since it is smaller than the sum of its proper divisors (59302669140).

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

34433807148 is a wasteful number, since it uses less digits than its factorization.

34433807148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73576534 (or 73576529 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34433807148 in words is "thirty-four billion, four hundred thirty-three million, eight hundred seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 73576511 147153022 220729533 294306044 441459066 662188599 882918132 956494643 1324377198 1912989286 2648754396 2869483929 3825978572 5738967858 8608451787 11477935716 17216903574 34433807148