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1082742565840 = 245131041098621
BaseRepresentation
bin11111100000110000111…
…11000110101111010000
310211111202012011021112121
433300120133012233100
5120214424044101330
62145223254504024
7141140240646265
oct17603037065720
93744665137477
101082742565840
11388208a51311
12155a14365014
137b14366b780
143a59553526c
151d2708c717a
hexfc187c6bd0

1082742565840 has 40 divisors (see below), whose sum is σ = 2711020811688. Its totient is φ = 399781870080.

The previous prime is 1082742565837. The next prime is 1082742565847. The reversal of 1082742565840 is 485652472801.

It can be written as a sum of positive squares in 4 ways, for example, as 4027679296 + 1078714886544 = 63464^2 + 1038612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082742565847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520548271 + ... + 520550350.

Almost surely, 21082742565840 is an apocalyptic number.

1082742565840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082742565840 is an abundant number, since it is smaller than the sum of its proper divisors (1628278245848).

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

1082742565840 is a wasteful number, since it uses less digits than its factorization.

1082742565840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041098647 (or 1041098641 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 52.

The spelling of 1082742565840 in words is "one trillion, eighty-two billion, seven hundred forty-two million, five hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1041098621 2082197242 4164394484 5205493105 8328788968 10410986210 13534282073 16657577936 20821972420 27068564146 41643944840 54137128292 67671410365 83287889680 108274256584 135342820730 216548513168 270685641460 541371282920 1082742565840