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45838714460 = 22571129765399
BaseRepresentation
bin101010101100001100…
…110100011001011100
311101022120121222000012
4222230030310121130
51222334202330320
633020310422352
73211632433640
oct525414643134
9141276558005
1045838714460
11184928396a0
128a733619b8
1344268ca6a6
14230bbd4c20
1512d43b14c5
hexaac33465c

45838714460 has 48 divisors (see below), whose sum is σ = 120014092800. Its totient is φ = 14287391040.

The previous prime is 45838714447. The next prime is 45838714463. The reversal of 45838714460 is 6441783854.

It is a junction number, because it is equal to n+sod(n) for n = 45838714399 and 45838714408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45838714463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14881160 + ... + 14884239.

It is an arithmetic number, because the mean of its divisors is an integer number (2500293600).

Almost surely, 245838714460 is an apocalyptic number.

It is an amenable number.

45838714460 is an abundant number, since it is smaller than the sum of its proper divisors (74175378340).

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

45838714460 is a wasteful number, since it uses less digits than its factorization.

45838714460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29765426 (or 29765424 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 45838714460 in words is "forty-five billion, eight hundred thirty-eight million, seven hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 29765399 59530798 119061596 148826995 208357793 297653990 327419389 416715586 595307980 654838778 833431172 1041788965 1309677556 1637096945 2083577930 2291935723 3274193890 4167155860 4583871446 6548387780 9167742892 11459678615 22919357230 45838714460