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11327084352 = 263219665077
BaseRepresentation
bin10101000110010010…
…11001011101000000
31002020101220111121200
422203021121131000
5141144213144402
65111550421200
7550460425353
oct124311313500
932211814550
1011327084352
114892931141
122241501800
1310b691929c
147964d429a
1546464d21c
hex2a3259740

11327084352 has 42 divisors (see below), whose sum is σ = 32467043778. Its totient is φ = 3775694592.

The previous prime is 11327084341. The next prime is 11327084357. The reversal of 11327084352 is 25348072311.

It can be written as a sum of positive squares in only one way, i.e., 10155802176 + 1171282176 = 100776^2 + 34224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11327084357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9831963 + ... + 9833114.

Almost surely, 211327084352 is an apocalyptic number.

11327084352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11327084352 is an abundant number, since it is smaller than the sum of its proper divisors (21139959426).

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

11327084352 is a wasteful number, since it uses less digits than its factorization.

11327084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19665095 (or 19665082 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11327084352 in words is "eleven billion, three hundred twenty-seven million, eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19665077 39330154 58995231 78660308 117990462 157320616 176985693 235980924 314641232 353971386 471961848 629282464 707942772 943923696 1258564928 1415885544 1887847392 2831771088 3775694784 5663542176 11327084352