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45444531136 = 2610933119681
BaseRepresentation
bin101010010100101101…
…001000001111000000
311100022002220101010211
4222110231020033000
51221032244444021
632513230003504
73166105066264
oct522455101700
9140262811124
1045444531136
1118300286954
128983346594
134393044814
1422b17060a4
1512ae99b3e1
hexa94b483c0

45444531136 has 56 divisors (see below), whose sum is σ = 91285903280. Its totient is φ = 22444646400.

The previous prime is 45444531131. The next prime is 45444531157. The reversal of 45444531136 is 63113544454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444531131) 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, 2299216 + ... + 2318896.

Almost surely, 245444531136 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 45444531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45642951640).

45444531136 is an abundant number, since it is smaller than the sum of its proper divisors (45841372144).

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

45444531136 is a wasteful number, since it uses less digits than its factorization.

45444531136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20133 (or 20123 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The spelling of 45444531136 in words is "forty-five billion, four hundred forty-four million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 109 218 331 436 662 872 1324 1744 2648 3488 5296 6976 10592 19681 21184 36079 39362 72158 78724 144316 157448 288632 314896 577264 629792 1154528 1259584 2145229 2309056 4290458 6514411 8580916 13028822 17161832 26057644 34323664 52115288 68647328 104230576 137294656 208461152 416922304 710070799 1420141598 2840283196 5680566392 11361132784 22722265568 45444531136