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85535453556 = 223271743494591
BaseRepresentation
bin100111110101001001…
…1110111000101110100
322011210010001020202100
41033222103313011310
52400134034003211
6103143333342100
76115435234110
oct1175223670564
9264703036670
1085535453556
1133303596293
12146b1797930
1380b1bacb17
1441d5dc0740
152359443156
hex13ea4f7174

85535453556 has 144 divisors (see below), whose sum is σ = 261755020800. Its totient is φ = 22990832640.

The previous prime is 85535453519. The next prime is 85535453557. The reversal of 85535453556 is 65535453558.

85535453556 is a `hidden beast` number, since 8 + 5 + 5 + 3 + 54 + 535 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85535453557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18628821 + ... + 18633411.

It is an arithmetic number, because the mean of its divisors is an integer number (1817743200).

Almost surely, 285535453556 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 85535453556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130877510400).

85535453556 is an abundant number, since it is smaller than the sum of its proper divisors (176219567244).

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

85535453556 is a wasteful number, since it uses less digits than its factorization.

85535453556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974 (or 8969 counting only the distinct ones).

The product of its digits is 27000000, while the sum is 54.

The spelling of 85535453556 in words is "eighty-five billion, five hundred thirty-five million, four hundred fifty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 4349 4591 8698 9182 13047 13773 17396 18364 26094 27546 30443 32137 39141 41319 52188 55092 60886 64274 73933 78047 78282 82638 91329 96411 121772 128548 147866 156094 156564 165276 182658 192822 221799 234141 273987 289233 295732 312188 365316 385644 443598 468282 517531 546329 547974 578466 665397 702423 887196 936564 1035062 1092658 1095948 1156932 1330794 1404846 1552593 1638987 2070124 2185316 2661588 2809692 3105186 3277974 4657779 4916961 6210372 6555948 9315558 9833922 18631116 19667844 19966259 39932518 59898777 79865036 119797554 139763813 179696331 239595108 279527626 339426403 359392662 419291439 559055252 678852806 718785324 838582878 1018279209 1257874317 1357705612 1677165756 2036558418 2375984821 2515748634 3054837627 4073116836 4751969642 5031497268 6109675254 7127954463 9503939284 12219350508 14255908926 21383863389 28511817852 42767726778 85535453556