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5163132736 = 262337472017
BaseRepresentation
bin1001100111011111…
…10010011101000000
3111022211100022121101
410303233302131000
541033230221421
62212155504144
7241642622056
oct46357623500
914284308541
105163132736
11220a4aa053
121001158054
136438a8238
1436da081d6
1520342c191
hex133bf2740

5163132736 has 112 divisors (see below), whose sum is σ = 11219175936. Its totient is φ = 2350301184.

The previous prime is 5163132731. The next prime is 5163132757. The reversal of 5163132736 is 6372313615.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 5163132695 and 5163132704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5163132731) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2558800 + ... + 2560816.

Almost surely, 25163132736 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 5163132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609587968).

5163132736 is an abundant number, since it is smaller than the sum of its proper divisors (6056043200).

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

5163132736 is a wasteful number, since it uses less digits than its factorization.

5163132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2126 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 5163132736 is about 71854.9423213184. The cubic root of 5163132736 is about 1728.3741545200.

The spelling of 5163132736 in words is "five billion, one hundred sixty-three million, one hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 37 46 47 64 74 92 94 148 184 188 296 368 376 592 736 752 851 1081 1184 1472 1504 1702 1739 2017 2162 2368 3008 3404 3478 4034 4324 6808 6956 8068 8648 13616 13912 16136 17296 27232 27824 32272 34592 39997 46391 54464 55648 64544 69184 74629 79994 92782 94799 111296 129088 149258 159988 185564 189598 298516 319976 371128 379196 597032 639952 742256 758392 1194064 1279904 1484512 1516784 1716467 2180377 2388128 2559808 2969024 3033568 3432934 3507563 4360754 4776256 6067136 6865868 7015126 8721508 13731736 14030252 17443016 27463472 28060504 34886032 54926944 56121008 69772064 80673949 109853888 112242016 139544128 161347898 224484032 322695796 645391592 1290783184 2581566368 5163132736