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45536045334 = 2313172310114783
BaseRepresentation
bin101010011010001010…
…001110100100010110
311100112111002210000120
4222122022032210112
51221224211422314
632530255252410
73201265666443
oct523212164426
9140474083016
1045536045334
1118347a0191a
1289a9b1a106
1343a8ca6a30
1422bd9289ca
1512b7a268a9
hexa9a28e916

45536045334 has 128 divisors (see below), whose sum is σ = 109442285568. Its totient is φ = 12487833600.

The previous prime is 45536045333. The next prime is 45536045353. The reversal of 45536045334 is 43354063554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45536045333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3072907 + ... + 3087689.

It is an arithmetic number, because the mean of its divisors is an integer number (855017856).

Almost surely, 245536045334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45536045334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54721142784).

45536045334 is an abundant number, since it is smaller than the sum of its proper divisors (63906240234).

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

45536045334 is a wasteful number, since it uses less digits than its factorization.

45536045334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14942.

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 45536045334 in words is "forty-five billion, five hundred thirty-six million, forty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 101 102 138 202 221 299 303 391 442 598 606 663 782 897 1173 1313 1326 1717 1794 2323 2346 2626 3434 3939 4646 5083 5151 6969 7878 10166 10302 13938 14783 15249 22321 29566 30199 30498 39491 44349 44642 60398 66963 78982 88698 90597 118473 133926 181194 192179 236946 251311 340009 384358 502622 513383 576537 680018 753933 1020027 1026766 1153074 1493083 1507866 1540149 2040054 2986166 3080298 3267043 4420117 4479249 5780153 6534086 8840234 8958498 9801129 11560306 13260351 17340459 19410079 19602258 25382411 26520702 34340909 34680918 38820158 50764822 58230237 68681818 75141989 76147233 103022727 116460474 150283978 152294466 206045454 225425967 329971343 446431817 450851934 583795453 659942686 892863634 989914029 1167590906 1339295451 1751386359 1979828058 2678590902 3502772718 7589340889 15178681778 22768022667 45536045334