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51146430525 = 3252227317469
BaseRepresentation
bin101111101000100100…
…001001100000111101
311220000111000212122200
4233220210021200331
51314221441234100
635255113302113
73460312325541
oct575044114075
9156014025580
1051146430525
111a7669102a3
129ab4a04939
134a91429198
142692ab7a21
1514e534ce00
hexbe890983d

51146430525 has 18 divisors (see below), whose sum is σ = 91608940410. Its totient is φ = 27278096160.

The previous prime is 51146430479. The next prime is 51146430541. The reversal of 51146430525 is 52503464115.

51146430525 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 643 + 0 + 5 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7937740836 + 43208689689 = 89094^2 + 207867^2 .

It is not a de Polignac number, because 51146430525 - 210 = 51146429501 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51146430525.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 113658510 + ... + 113658959.

Almost surely, 251146430525 is an apocalyptic number.

It is an amenable number.

51146430525 is a deficient number, since it is larger than the sum of its proper divisors (40462509885).

51146430525 is a wasteful number, since it uses less digits than its factorization.

51146430525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227317485 (or 227317477 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

It can be divided in two parts, 51146 and 430525, that added together give a triangular number (481671 = T981).

The spelling of 51146430525 in words is "fifty-one billion, one hundred forty-six million, four hundred thirty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 227317469 681952407 1136587345 2045857221 3409762035 5682936725 10229286105 17048810175 51146430525