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45828533776 = 2410924912
BaseRepresentation
bin101010101011100101…
…111110111000010000
311101021212110201201211
4222223211332320100
51222324101040101
633015304305504
73211450052434
oct525345767020
9141255421654
1045828533776
1118488015803
128a6ba72294
13442477480c
14230a7049c4
1512d354ec51
hexaab97ee10

45828533776 has 45 divisors (see below), whose sum is σ = 89797757133. Its totient is φ = 22657803840.

The previous prime is 45828533771. The next prime is 45828533783. The reversal of 45828533776 is 67733582854.

The square root of 45828533776 is 214076.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31942268176 + 13886265600 = 178724^2 + 117840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45828533776.

It is not an unprimeable number, because it can be changed into a prime (45828533771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93336891 + ... + 93337381.

Almost surely, 245828533776 is an apocalyptic number.

45828533776 is the 214076-th square number.

It is an amenable number.

45828533776 is a deficient number, since it is larger than the sum of its proper divisors (43969223357).

45828533776 is an frugal number, since it uses more digits than its factorization.

45828533776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 602 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 58.

It can be divided in two parts, 4582 and 8533776, that added together give a palindrome (8538358).

The spelling of 45828533776 in words is "forty-five billion, eight hundred twenty-eight million, five hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 109 218 436 491 872 982 1744 1964 3928 7856 11881 23762 47524 53519 95048 107038 190096 214076 241081 428152 482162 856304 964324 1928648 3857296 5833571 11667142 23334284 26277829 46668568 52555658 93337136 105111316 210222632 420445264 2864283361 5728566722 11457133444 22914266888 45828533776