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11814932780 = 2257534993191
BaseRepresentation
bin10110000000011100…
…11001000100101100
31010111101212202211222
423000032121010230
5143144110322110
65232215002512
7565533162110
oct130016310454
933441782758
1011814932780
115013248962
122358969438
131163a083b1
14801205740
154923b5c55
hex2c039912c

11814932780 has 96 divisors (see below), whose sum is σ = 28957824000. Its totient is φ = 3965195520.

The previous prime is 11814932771. The next prime is 11814932783. The reversal of 11814932780 is 8723941811.

It is not an unprimeable number, because it can be changed into a prime (11814932783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3700985 + ... + 3704175.

It is an arithmetic number, because the mean of its divisors is an integer number (301644000).

Almost surely, 211814932780 is an apocalyptic number.

11814932780 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 11814932780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912000).

11814932780 is an abundant number, since it is smaller than the sum of its proper divisors (17142891220).

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

11814932780 is a wasteful number, since it uses less digits than its factorization.

11814932780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 11814932780 in words is "eleven billion, eight hundred fourteen million, nine hundred thirty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 499 530 742 998 1060 1484 1855 1996 2495 3191 3493 3710 4990 6382 6986 7420 9980 12764 13972 15955 17465 22337 26447 31910 34930 44674 52894 63820 69860 89348 105788 111685 132235 169123 185129 223370 264470 338246 370258 446740 528940 676492 740516 845615 925645 1183861 1592309 1691230 1851290 2367722 3184618 3382460 3702580 4735444 5919305 6369236 7961545 11146163 11838610 15923090 22292326 23677220 31846180 44584652 55730815 84392377 111461630 168784754 222923260 337569508 421961885 590746639 843923770 1181493278 1687847540 2362986556 2953733195 5907466390 11814932780