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51738407725473 = 3277957389181141
BaseRepresentation
bin10111100001110010010010…
…11010011110100110100001
320210012010212120222200211200
423300321021122132212201
523240140224334203343
6302012144004031413
713616655655321530
oct1360711132364641
9223163776880750
1051738407725473
1115538154386257
125977300092569
1322b3bac37b711
14cac21bc80317
155eac7c2904d3
hex2f0e4969e9a1

51738407725473 has 48 divisors (see below), whose sum is σ = 86492551641600. Its totient is φ = 29189896594560.

The previous prime is 51738407725441. The next prime is 51738407725483. The reversal of 51738407725473 is 37452770483715.

It is a happy number.

51738407725473 is a `hidden beast` number, since 5 + 1 + 7 + 3 + 84 + 0 + 7 + 7 + 2 + 547 + 3 = 666.

51738407725473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51738407725473 - 25 = 51738407725441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 51738407725473.

It is not an unprimeable number, because it can be changed into a prime (51738407725423) 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 47 ways as a sum of consecutive naturals, for example, 285534483 + ... + 285715623.

It is an arithmetic number, because the mean of its divisors is an integer number (1801928159200).

Almost surely, 251738407725473 is an apocalyptic number.

It is an amenable number.

51738407725473 is a deficient number, since it is larger than the sum of its proper divisors (34754143916127).

51738407725473 is a wasteful number, since it uses less digits than its factorization.

51738407725473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238622 (or 238619 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 63.

The spelling of 51738407725473 in words is "fifty-one trillion, seven hundred thirty-eight billion, four hundred seven million, seven hundred twenty-five thousand, four hundred seventy-three".

Divisors: 1 3 7 9 21 63 79 237 553 711 1659 4977 57389 172167 181141 401723 516501 543423 1205169 1267987 1630269 3615507 3803961 4533731 11411883 13601193 14310139 31736117 40803579 42930417 95208351 100170973 128791251 285625053 300512919 901538757 10395500849 31186502547 72768505943 93559507641 218305517829 654916553487 821244567071 2463733701213 5748711969497 7391201103639 17246135908491 51738407725473