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5016446105 = 511172315599
BaseRepresentation
bin1001010110000000…
…01110010010011001
3110221121022212101012
410223000032102121
540233202233410
62145435503305
7235212042206
oct45300162231
913847285335
105016446105
112144720230
12b7bbb7b35
1361c399508
14358342cad
151e5604605
hex12b00e499

5016446105 has 24 divisors (see below), whose sum is σ = 6976022400. Its totient is φ = 3433706240.

The previous prime is 5016446059. The next prime is 5016446111.

5016446105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5016446105 - 232 = 721478809 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 141905 + ... + 173694.

It is an arithmetic number, because the mean of its divisors is an integer number (290667600).

Almost surely, 25016446105 is an apocalyptic number.

5016446105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5016446105 is a deficient number, since it is larger than the sum of its proper divisors (1959576295).

5016446105 is a wasteful number, since it uses less digits than its factorization.

5016446105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315649 (or 315632 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 5016446105 is about 70826.8741721672. The cubic root of 5016446105 is about 1711.8487244462.

It can be divided in two parts, 50164 and 46105, that added together give a palindrome (96269).

The spelling of 5016446105 in words is "five billion, sixteen million, four hundred forty-six thousand, one hundred five".

Divisors: 1 5 11 17 55 85 187 289 935 1445 3179 15895 315599 1577995 3471589 5365183 17357945 26825915 59017013 91208111 295085065 456040555 1003289221 5016446105