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45177451072 = 261361890161
BaseRepresentation
bin101010000100110010…
…010011001001000000
311022121111100022011121
4222010302103021000
51220010411413242
632430525322024
73156352666225
oct520462231100
9138544308147
1045177451072
1118183547726
128909a06314
13434c901a90
14228806194c
1512962e1667
hexa84c93240

45177451072 has 56 divisors (see below), whose sum is σ = 98127898232. Its totient is φ = 20509286400.

The previous prime is 45177451049. The next prime is 45177451073. The reversal of 45177451072 is 27015477154.

It can be written as a sum of positive squares in 4 ways, for example, as 1820216896 + 43357234176 = 42664^2 + 208224^2 .

It is not an unprimeable number, because it can be changed into a prime (45177451073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394329 + ... + 495832.

It is an arithmetic number, because the mean of its divisors is an integer number (1752283897).

Almost surely, 245177451072 is an apocalyptic number.

It is an amenable number.

45177451072 is an abundant number, since it is smaller than the sum of its proper divisors (52950447160).

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

45177451072 is a wasteful number, since it uses less digits than its factorization.

45177451072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890247 (or 890237 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 43.

The spelling of 45177451072 in words is "forty-five billion, one hundred seventy-seven million, four hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 208 244 416 488 793 832 976 1586 1952 3172 3904 6344 12688 25376 50752 890161 1780322 3560644 7121288 11572093 14242576 23144186 28485152 46288372 54299821 56970304 92576744 108599642 185153488 217199284 370306976 434398568 705897673 740613952 868797136 1411795346 1737594272 2823590692 3475188544 5647181384 11294362768 22588725536 45177451072