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45443354454 = 2334721418363
BaseRepresentation
bin101010010100101000…
…101000111101010110
311100022000200121001000
4222110220220331112
51221031444320304
632513144444130
73166062065601
oct522450507526
9140260617030
1045443354454
11182aa652893
128982a79646
134392a22064
1422b14bb338
1512ae817939
hexa94a28f56

45443354454 has 64 divisors (see below), whose sum is σ = 103194362880. Its totient is φ = 14816795040.

The previous prime is 45443354339. The next prime is 45443354461. The reversal of 45443354454 is 45445334454.

45443354454 is a `hidden beast` number, since 4 + 54 + 4 + 3 + 3 + 544 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5429677 + ... + 5438039.

It is an arithmetic number, because the mean of its divisors is an integer number (1612411920).

Almost surely, 245443354454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45443354454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597181440).

45443354454 is an abundant number, since it is smaller than the sum of its proper divisors (57751008426).

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

45443354454 is a wasteful number, since it uses less digits than its factorization.

45443354454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562 (or 10556 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 45.

The spelling of 45443354454 in words is "forty-five billion, four hundred forty-three million, three hundred fifty-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2141 2538 4282 6423 8363 12846 16726 19269 25089 38538 50178 57807 75267 100627 115614 150534 201254 225801 301881 393061 451602 603762 786122 905643 1179183 1811286 2358366 2716929 3537549 5433858 7075098 10612647 17905183 21225294 35810366 53715549 107431098 161146647 322293294 483439941 841543601 966879882 1683087202 2524630803 5049261606 7573892409 15147784818 22721677227 45443354454