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51125627432432 = 2474370313150979
BaseRepresentation
bin10111001111111100111001…
…10111001010110111110000
320201000120011212202111011202
423213332130313022313300
523200120241110314212
6300422442231430332
713524463464632120
oct1347763467126760
9221016155674152
1051125627432432
1115321290930403
1258985a52253a8
13226b183a16747
14c8a6ca502c80
155d9d6541e0c2
hex2e7f9cdcadf0

51125627432432 has 80 divisors (see below), whose sum is σ = 115841876240640. Its totient is φ = 21400979314176.

The previous prime is 51125627432419. The next prime is 51125627432447. The reversal of 51125627432432 is 23423472652115.

It is a happy number.

It is a super-2 number, since 2×511256274324322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338551919 + ... + 338702897.

It is an arithmetic number, because the mean of its divisors is an integer number (1448023453008).

Almost surely, 251125627432432 is an apocalyptic number.

It is an amenable number.

51125627432432 is an abundant number, since it is smaller than the sum of its proper divisors (64716248808208).

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

51125627432432 is a wasteful number, since it uses less digits than its factorization.

51125627432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221350 (or 221344 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 47.

The spelling of 51125627432432 in words is "fifty-one trillion, one hundred twenty-five billion, six hundred twenty-seven million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 70313 140626 150979 281252 301958 492191 562504 603916 984382 1056853 1125008 1207832 1968764 2113706 2415664 3023459 3937528 4227412 6046918 6492097 7875056 8454824 12093836 12984194 16909648 21164213 24187672 25968388 42328426 45444679 48375344 51936776 84656852 90889358 103873552 169313704 181778716 338627408 363557432 727114864 10615786427 21231572854 42463145708 74310504989 84926291416 148621009978 169852582832 297242019956 456478816361 594484039912 912957632722 1188968079824 1825915265444 3195351714527 3651830530888 6390703429054 7303661061776 12781406858108 25562813716216 51125627432432