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52431313648 = 2474112139413
BaseRepresentation
bin110000110101001001…
…100101101011110000
312000100000202200221111
4300311021211223300
51324334404014043
640030413003104
73534203545510
oct606511455360
9160300680844
1052431313648
1120266122a7a
12a1b3183494
134c376a055c
1427755c1840
15156d05409d
hexc35265af0

52431313648 has 80 divisors (see below), whose sum is σ = 119040255936. Its totient is φ = 21902100480.

The previous prime is 52431313643. The next prime is 52431313681. The reversal of 52431313648 is 84631313425.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52431313648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52431313643) 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, 5565390 + ... + 5574802.

Almost surely, 252431313648 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 52431313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520127968).

52431313648 is an abundant number, since it is smaller than the sum of its proper divisors (66608942288).

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

52431313648 is a wasteful number, since it uses less digits than its factorization.

52431313648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10676 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The spelling of 52431313648 in words is "fifty-two billion, four hundred thirty-one million, three hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 1213 2296 2426 4592 4852 8491 9413 9704 16982 18826 19408 33964 37652 49733 65891 67928 75304 99466 131782 135856 150608 198932 263564 348131 385933 397864 527128 696262 771866 795728 1054256 1392524 1543732 2701531 2785048 3087464 5403062 5570096 6174928 10806124 11417969 21612248 22835938 43224496 45671876 79925783 91343752 159851566 182687504 319703132 468136729 639406264 936273458 1278812528 1872546916 3276957103 3745093832 6553914206 7490187664 13107828412 26215656824 52431313648