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45164033144 = 23171941426301
BaseRepresentation
bin101010000011111111…
…000111010001111000
311022120120002121020022
4222003333013101320
51214443443030034
632425325550012
73156130643006
oct520377072170
9138516077208
1045164033144
1118176a1262a
128905415308
134349bb4589
14228636ba76
151295040b2e
hexa83fc7478

45164033144 has 64 divisors (see below), whose sum is σ = 96685293600. Its totient is φ = 19643904000.

The previous prime is 45164033143. The next prime is 45164033203. The reversal of 45164033144 is 44133046154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45164033143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107207 + ... + 319094.

Almost surely, 245164033144 is an apocalyptic number.

It is an amenable number.

45164033144 is an abundant number, since it is smaller than the sum of its proper divisors (51521260456).

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

45164033144 is a wasteful number, since it uses less digits than its factorization.

45164033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426384 (or 426380 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 45164033144 its reverse (44133046154), we get a palindrome (89297079298).

The spelling of 45164033144 in words is "forty-five billion, one hundred sixty-four million, thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 19 34 38 41 68 76 82 136 152 164 323 328 646 697 779 1292 1394 1558 2584 2788 3116 5576 6232 13243 26486 52972 105944 426301 852602 1705204 3410408 7247117 8099719 14494234 16199438 17478341 28988468 32398876 34956682 57976936 64797752 69913364 137695223 139826728 275390446 297131797 332088479 550780892 594263594 664176958 1101561784 1188527188 1328353916 2377054376 2656707832 5645504143 11291008286 22582016572 45164033144