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1149739363080 = 233257111723374761
BaseRepresentation
bin10000101110110001110…
…011100110101100001000
311001220200022110012201100
4100232301303212230020
5122314131234104310
62240103304421400
7146031420223620
oct20566163465410
94056608405640
101149739363080
11403668995730
121669b1477860
138455c84cb69
143d90d34d880
151ed9250eec0
hex10bb1ce6b08

1149739363080 has 3072 divisors, whose sum is σ = 5487283077120. Its totient is φ = 201454387200.

The previous prime is 1149739362977. The next prime is 1149739363099. The reversal of 1149739363080 is 803639379411.

It is a happy number.

1149739363080 is a `hidden beast` number, since 1 + 1 + 497 + 3 + 93 + 63 + 0 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 10722592-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 18848186250 + ... + 18848186310.

It is an arithmetic number, because the mean of its divisors is an integer number (1786224960).

Almost surely, 21149739363080 is an apocalyptic number.

1149739363080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149739363080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743641538560).

1149739363080 is an abundant number, since it is smaller than the sum of its proper divisors (4337543714040).

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

1149739363080 is a wasteful number, since it uses less digits than its factorization.

1149739363080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1149739363080 in words is "one trillion, one hundred forty-nine billion, seven hundred thirty-nine million, three hundred sixty-three thousand, eighty".