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51382443861 = 32729591792663
BaseRepresentation
bin101111110110101000…
…011101111101010101
311220121221010121002100
4233312220131331111
51320212401200421
635334344032313
73466206365220
oct576650357525
9156557117070
1051382443861
111a878060641
129b5ba62699
134acb2b2548
1426b61925b7
15150ae1cc26
hexbf6a1df55

51382443861 has 96 divisors (see below), whose sum is σ = 89766144000. Its totient is φ = 27702347904.

The previous prime is 51382443857. The next prime is 51382443901. The reversal of 51382443861 is 16834428315.

51382443861 is a `hidden beast` number, since 5 + 138 + 24 + 438 + 61 = 666.

It is not a de Polignac number, because 51382443861 - 22 = 51382443857 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51382443821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19293616 + ... + 19296278.

It is an arithmetic number, because the mean of its divisors is an integer number (935064000).

Almost surely, 251382443861 is an apocalyptic number.

It is an amenable number.

51382443861 is a deficient number, since it is larger than the sum of its proper divisors (38383700139).

51382443861 is a wasteful number, since it uses less digits than its factorization.

51382443861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2940 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 51382443861 in words is "fifty-one billion, three hundred eighty-two million, four hundred forty-three thousand, eight hundred sixty-one".

Divisors: 1 3 7 9 21 29 59 63 87 177 179 203 261 413 531 537 609 1239 1253 1611 1711 1827 2663 3717 3759 5133 5191 7989 10561 11277 11977 15399 15573 18641 23967 31683 35931 36337 46719 55923 73927 77227 95049 107793 109011 157117 167769 221781 231681 306269 327033 471351 476677 540589 665343 695043 918807 1099819 1414053 1430031 1621767 2143883 2756421 3299457 3336739 4290093 4556393 4865301 6431649 9898371 10010217 13669179 13823633 19294947 28123943 30030651 31894751 41007537 41470899 84371829 95684253 96765431 124412697 196867601 253115487 287052759 290296293 590602803 815594347 870888879 1771808409 2446783041 5709160429 7340349123 17127481287 51382443861