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49778518321 = 72318732
BaseRepresentation
bin101110010111000001…
…111110100100110001
311202111011001201212201
4232113001332210301
51303421300041241
634511250223201
73411362265400
oct562701764461
9152434051781
1049778518321
111a124748644
129792884b01
134903c03a8c
1425a3159637
1514651e5931
hexb9707e931

49778518321 has 9 divisors (see below), whose sum is σ = 57907440171. Its totient is φ = 42665962752.

The previous prime is 49778518289. The next prime is 49778518393. The reversal of 49778518321 is 12381587794.

The square root of 49778518321 is 223111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10944298225 + 38834220096 = 104615^2 + 197064^2 .

It is not a de Polignac number, because 49778518321 - 25 = 49778518289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49778510321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1545841 + ... + 1577713.

It is an arithmetic number, because the mean of its divisors is an integer number (6434160019).

Almost surely, 249778518321 is an apocalyptic number.

49778518321 is the 223111-st square number.

49778518321 is the 111556-th centered octagonal number.

It is an amenable number.

49778518321 is a deficient number, since it is larger than the sum of its proper divisors (8128921850).

49778518321 is an frugal number, since it uses more digits than its factorization.

49778518321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63760 (or 31880 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The spelling of 49778518321 in words is "forty-nine billion, seven hundred seventy-eight million, five hundred eighteen thousand, three hundred twenty-one".

Divisors: 1 7 49 31873 223111 1561777 1015888129 7111216903 49778518321