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45772831728 = 2434132716811
BaseRepresentation
bin101010101000010001…
…011111101111110000
311101010222122202220000
4222220101133233300
51222220321103403
633005554350000
73210202436001
oct525021375760
9141128582800
1045772831728
111845962aa58
128a5528b300
134416070c20
1423031651a8
1512cd6ea7a3
hexaa845fbf0

45772831728 has 100 divisors (see below), whose sum is σ = 142670665368. Its totient is φ = 14083943040.

The previous prime is 45772831723. The next prime is 45772831763. The reversal of 45772831728 is 82713827754.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45772831723) 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 19 ways as a sum of consecutive naturals, for example, 1341558 + ... + 1375253.

Almost surely, 245772831728 is an apocalyptic number.

45772831728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45772831728 is an abundant number, since it is smaller than the sum of its proper divisors (96897833640).

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

45772831728 is a wasteful number, since it uses less digits than its factorization.

45772831728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716844 (or 2716829 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 45772831728 in words is "forty-five billion, seven hundred seventy-two million, eight hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 2716811 5433622 8150433 10867244 16300866 21734488 24451299 32601732 35318543 43468976 48902598 65203464 70637086 73353897 97805196 105955629 130406928 141274172 146707794 195610392 211911258 220061691 282548344 293415588 317866887 391220784 423822516 440123382 565096688 586831176 635733774 847645032 880246764 953600661 1173662352 1271467548 1695290064 1760493528 1907201322 2542935096 2860801983 3520987056 3814402644 5085870192 5721603966 7628805288 11443207932 15257610576 22886415864 45772831728