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85353163308 = 223272106945263
BaseRepresentation
bin100111101111101110…
…0011110101000101100
322011022102000221112200
41033133130132220230
52344300402211213
6103113302301500
76111062626500
oct1173734365054
9264272027480
1085353163308
113321a6a9996
1214660727890
1380831b667a
1441b9acc300
152348436273
hex13df71ea2c

85353163308 has 108 divisors (see below), whose sum is σ = 251219273760. Its totient is φ = 24363267264.

The previous prime is 85353163267. The next prime is 85353163309. The reversal of 85353163308 is 80336135358.

85353163308 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 3 + 1 + 633 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (85353163309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1863085 + ... + 1908347.

Almost surely, 285353163308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85353163308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125609636880).

85353163308 is an abundant number, since it is smaller than the sum of its proper divisors (165866110452).

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

85353163308 is a wasteful number, since it uses less digits than its factorization.

85353163308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46356 (or 46344 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 85353163308 in words is "eighty-five billion, three hundred fifty-three million, one hundred sixty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1069 1764 2138 3207 4276 6414 7483 9621 12828 14966 19242 22449 29932 38484 44898 45263 52381 67347 89796 90526 104762 134694 135789 157143 181052 209524 269388 271578 314286 316841 407367 471429 543156 628572 633682 814734 942858 950523 1267364 1629468 1885716 1901046 2217887 2851569 3802092 4435774 5703138 6653661 8871548 11406276 13307322 19960983 26614644 39921966 48386147 79843932 96772294 145158441 193544588 290316882 338703029 435475323 580633764 677406058 870950646 1016109087 1354812116 1741901292 2032218174 2370921203 3048327261 4064436348 4741842406 6096654522 7112763609 9483684812 12193309044 14225527218 21338290827 28451054436 42676581654 85353163308