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5006436505 = 57171492379
BaseRepresentation
bin1001010100110100…
…00010100010011001
3110220220111022210021
410222122002202121
540223121432010
62144441150441
7235031002540
oct45232024231
913826438707
105006436505
11213a003934
12b7878b421
1361a2a3485
14356c99157
151e47c88da
hex12a682899

5006436505 has 48 divisors (see below), whose sum is σ = 7338280320. Its totient is φ = 3200891904.

The previous prime is 5006436499. The next prime is 5006436509. The reversal of 5006436505 is 5056346005.

It is not a de Polignac number, because 5006436505 - 215 = 5006403737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5006436509) 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 47 ways as a sum of consecutive naturals, for example, 13209406 + ... + 13209784.

It is an arithmetic number, because the mean of its divisors is an integer number (152880840).

Almost surely, 25006436505 is an apocalyptic number.

It is an amenable number.

5006436505 is a deficient number, since it is larger than the sum of its proper divisors (2331843815).

5006436505 is a wasteful number, since it uses less digits than its factorization.

5006436505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 5006436505 is about 70756.1764441805. The cubic root of 5006436505 is about 1710.7093832975.

The spelling of 5006436505 in words is "five billion, six million, four hundred thirty-six thousand, five hundred five".

Divisors: 1 5 7 17 35 85 119 149 379 595 745 1043 1895 2533 2653 5215 6443 12665 13265 17731 22201 32215 45101 56471 88655 111005 155407 225505 282355 377417 395297 777035 960007 1887085 1976485 2641919 4800035 6720049 8414179 13209595 33600245 42070895 58899253 143041043 294496265 715205215 1001287301 5006436505