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47745309049 = 35326192
BaseRepresentation
bin101100011101110101…
…111001100101111001
311120020110020000002121
4230131311321211321
51240240244342144
633533415401241
73310113300514
oct543565714571
9146213200077
1047745309049
1119280a893a9
129305983221
13466b8cca79
14244d0d7d7b
151396973384
hexb1dd79979

47745309049 has 9 divisors (see below), whose sum is σ = 47958425103. Its totient is φ = 47533138752.

The previous prime is 47745308951. The next prime is 47745309061. The reversal of 47745309049 is 94090354774.

The square root of 47745309049 is 218507.

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., 19397525625 + 28347783424 = 139275^2 + 168368^2 .

It is not a de Polignac number, because 47745309049 - 213 = 47745300857 is a prime.

It is a super-2 number, since 2×477453090492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47745308987 and 47745309005.

It is not an unprimeable number, because it can be changed into a prime (47745309949) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77132662 + ... + 77133280.

Almost surely, 247745309049 is an apocalyptic number.

47745309049 is the 218507-th square number.

47745309049 is the 109254-th centered octagonal number.

It is an amenable number.

47745309049 is a deficient number, since it is larger than the sum of its proper divisors (213116054).

47745309049 is an frugal number, since it uses more digits than its factorization.

47745309049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 47745309049 in words is "forty-seven billion, seven hundred forty-five million, three hundred nine thousand, forty-nine".

Divisors: 1 353 619 124609 218507 383161 77132971 135255833 47745309049