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61742552301664 = 25131304311379253
BaseRepresentation
bin11100000100111100011101…
…11001011100000001100000
322002121112022121222020100221
432002132032321130001200
531043042221342123124
6335152045325452424
716001516001212503
oct1602361671340140
9262545277866327
1061742552301664
1118744962170753
126b12153a11114
13285b3b4078890
1411364d95d913a
157210eaeb5ce4
hex38278ee5c060

61742552301664 has 48 divisors (see below), whose sum is σ = 130916132453232. Its totient is φ = 28494375280128.

The previous prime is 61742552301659. The next prime is 61742552301691. The reversal of 61742552301664 is 46610325524716.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263739 + ... + 11115514.

It is an arithmetic number, because the mean of its divisors is an integer number (2727419426109).

Almost surely, 261742552301664 is an apocalyptic number.

It is an amenable number.

61742552301664 is an abundant number, since it is smaller than the sum of its proper divisors (69173580151568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61742552301664 is a wasteful number, since it uses less digits than its factorization.

61742552301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392319 (or 11392311 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 61742552301664 in words is "sixty-one trillion, seven hundred forty-two billion, five hundred fifty-two million, three hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 13043 26086 52172 104344 169559 208688 339118 417376 678236 1356472 2712944 5425888 11379253 22758506 45517012 91034024 147930289 182068048 295860578 364136096 591721156 1183442312 2366884624 4733769248 148419596879 296839193758 593678387516 1187356775032 1929454759427 2374713550064 3858909518854 4749427100128 7717819037708 15435638075416 30871276150832 61742552301664