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45117340352 = 267275119157
BaseRepresentation
bin101010000001001100…
…111111101011000000
311022110022020100202122
4222001030333223000
51214400014342402
632420541103412
73155023031300
oct520114775300
9138408210678
1045117340352
1118152620647
1288b1857b68
1343403165c6
142280095600
151290dbaca2
hexa8133fac0

45117340352 has 84 divisors (see below), whose sum is σ = 104290941024. Its totient is φ = 19309248000.

The previous prime is 45117340343. The next prime is 45117340357. The reversal of 45117340352 is 25304371154.

It is not an unprimeable number, because it can be changed into a prime (45117340357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2345558 + ... + 2364714.

Almost surely, 245117340352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45117340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52145470512).

45117340352 is an abundant number, since it is smaller than the sum of its proper divisors (59173600672).

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

45117340352 is a wasteful number, since it uses less digits than its factorization.

45117340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19934 (or 19917 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 45117340352 in words is "forty-five billion, one hundred seventeen million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 751 784 1502 1568 3004 3136 5257 6008 10514 12016 19157 21028 24032 36799 38314 42056 48064 73598 76628 84112 134099 147196 153256 168224 268198 294392 306512 336448 536396 588784 613024 938693 1072792 1177568 1226048 1877386 2145584 2355136 3754772 4291168 7509544 8582336 14386907 15019088 28773814 30038176 57547628 60076352 100708349 115095256 201416698 230190512 402833396 460381024 704958443 805666792 920762048 1409916886 1611333584 2819833772 3222667168 5639667544 6445334336 11279335088 22558670176 45117340352