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34464150116 = 221117199231533
BaseRepresentation
bin100000000110001110…
…010011001001100100
310021221212101020002022
4200012032103021210
51031040310300431
623455502202312
72330024304524
oct400616231144
9107855336068
1034464150116
11136861290a0
126819b83398
1333331c9046
14194d2a1684
15d6a9d507b
hex806393264

34464150116 has 48 divisors (see below), whose sum is σ = 70015881600. Its totient is φ = 14669867520.

The previous prime is 34464150053. The next prime is 34464150169. The reversal of 34464150116 is 61105146443.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33086 + ... + 264618.

It is an arithmetic number, because the mean of its divisors is an integer number (1458664200).

Almost surely, 234464150116 is an apocalyptic number.

It is an amenable number.

34464150116 is an abundant number, since it is smaller than the sum of its proper divisors (35551731484).

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

34464150116 is a wasteful number, since it uses less digits than its factorization.

34464150116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231764 (or 231762 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 34464150116 its reverse (61105146443), we get a palindrome (95569296559).

The spelling of 34464150116 in words is "thirty-four billion, four hundred sixty-four million, one hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 187 199 374 398 748 796 2189 3383 4378 6766 8756 13532 37213 74426 148852 231533 463066 926132 2546863 3936061 5093726 7872122 10187452 15744244 43296671 46075067 86593342 92150134 173186684 184300268 506825737 783276139 1013651474 1566552278 2027302948 3133104556 8616037529 17232075058 34464150116