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45873637854 = 23112677312919
BaseRepresentation
bin101010101110010010…
…000010100111011110
311101102000100020220020
4222232102002213132
51222422122402404
633023555133010
73212535326262
oct525622024736
9141360306806
1045873637854
1118500522100
128a82ba4166
134430c07615
1423126c60a2
1512d74aded9
hexaae4829de

45873637854 has 96 divisors (see below), whose sum is σ = 103761450240. Its totient is φ = 13504993920.

The previous prime is 45873637819. The next prime is 45873637891.

It is a happy number.

45873637854 is nontrivially palindromic in base 10.

45873637854 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3544407 + ... + 3557325.

It is an arithmetic number, because the mean of its divisors is an integer number (1080848440).

Almost surely, 245873637854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45873637854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51880725120).

45873637854 is an abundant number, since it is smaller than the sum of its proper divisors (57887812386).

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

45873637854 is a wasteful number, since it uses less digits than its factorization.

45873637854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13086 (or 13075 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 60.

The spelling of 45873637854 in words is "forty-five billion, eight hundred seventy-three million, six hundred thirty-seven thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 67 73 121 134 146 201 219 242 363 402 438 726 737 803 1474 1606 2211 2409 4422 4818 4891 8107 8833 9782 12919 14673 16214 17666 24321 25838 26499 29346 38757 48642 52998 53801 77514 107602 142109 161403 284218 322806 426327 591811 852654 865573 943087 1183622 1563199 1731146 1775433 1886174 2596719 2829261 3126398 3550866 4689597 5193438 5658522 9379194 9521303 10373957 19042606 20747914 28563909 31121871 57127818 62243742 63186829 104734333 114113527 126373658 189560487 209468666 228227054 314202999 342340581 379120974 628405998 684681162 695055119 1390110238 2085165357 4170330714 7645606309 15291212618 22936818927 45873637854