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83085873444 = 2234736633983
BaseRepresentation
bin100110101100001001…
…1011101000100100100
321221110101201200120000
41031120103131010210
52330124440422234
6102100310341300
76000642162120
oct1153023350444
9257411650500
1083085873444
113226689a512
121412935a830
137ab1554c32
144042936580
152264376899
hex13584dd124

83085873444 has 60 divisors (see below), whose sum is σ = 248231875584. Its totient is φ = 23738820336.

The previous prime is 83085873419. The next prime is 83085873449. The reversal of 83085873444 is 44437858038.

83085873444 is a `hidden beast` number, since 83 + 0 + 8 + 58 + 73 + 444 = 666.

It is a super-2 number, since 2×830858734442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83085873449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18314724 + ... + 18319259.

Almost surely, 283085873444 is an apocalyptic number.

83085873444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83085873444 is an abundant number, since it is smaller than the sum of its proper divisors (165146002140).

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

83085873444 is a wasteful number, since it uses less digits than its factorization.

83085873444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36634006 (or 36633995 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 83085873444 in words is "eighty-three billion, eighty-five million, eight hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 36633983 73267966 109901949 146535932 219803898 256437881 329705847 439607796 512875762 659411694 769313643 989117541 1025751524 1318823388 1538627286 1978235082 2307940929 2967352623 3077254572 3956470164 4615881858 5934705246 6923822787 9231763716 11869410492 13847645574 20771468361 27695291148 41542936722 83085873444