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45323147760 = 24351117167859
BaseRepresentation
bin101010001101011110…
…000101100111110000
311022222122111110110020
4222031132011213300
51220310211212020
632453212203440
73163102254012
oct521536054760
9138878443406
1045323147760
111824880a810
12894a769580
134373b55037
14229d54a1b2
1512a3ec0c40
hexa8d7859f0

45323147760 has 80 divisors (see below), whose sum is σ = 153274654080. Its totient is φ = 10987429120.

The previous prime is 45323147759. The next prime is 45323147761. The reversal of 45323147760 is 6774132354.

45323147760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45323147759) and next prime (45323147761).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45323147761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8581290 + ... + 8586569.

It is an arithmetic number, because the mean of its divisors is an integer number (1915933176).

Almost surely, 245323147760 is an apocalyptic number.

45323147760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45323147760 is an abundant number, since it is smaller than the sum of its proper divisors (107951506320).

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

45323147760 is a wasteful number, since it uses less digits than its factorization.

45323147760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17167886 (or 17167880 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 45323147760 in words is "forty-five billion, three hundred twenty-three million, one hundred forty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 17167859 34335718 51503577 68671436 85839295 103007154 137342872 171678590 188846449 206014308 257517885 274685744 343357180 377692898 412028616 515035770 566539347 686714360 755385796 824057232 944232245 1030071540 1133078694 1373428720 1510771592 1888464490 2060143080 2266157388 2832696735 3021543184 3776928980 4120286160 4532314776 5665393470 7553857960 9064629552 11330786940 15107715920 22661573880 45323147760