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11675478920 = 2357211715087
BaseRepresentation
bin10101101111110100…
…11010101110001000
31010010200110210010012
422313322122232020
5142402410311140
65210314011052
7562220635100
oct126772325610
933120423105
1011675478920
114a5155a136
12231a116a88
131140b5c811
147ca8a4200
1548501b265
hex2b7e9ab88

11675478920 has 96 divisors (see below), whose sum is σ = 30590887680. Its totient is φ = 3998816640.

The previous prime is 11675478911. The next prime is 11675478923. The reversal of 11675478920 is 2987457611.

It is a happy number.

It is a super-2 number, since 2×116754789202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11675478923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2292617 + ... + 2297703.

It is an arithmetic number, because the mean of its divisors is an integer number (318655080).

Almost surely, 211675478920 is an apocalyptic number.

11675478920 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 11675478920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15295443840).

11675478920 is an abundant number, since it is smaller than the sum of its proper divisors (18915408760).

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

11675478920 is a wasteful number, since it uses less digits than its factorization.

11675478920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 11675478920 in words is "eleven billion, six hundred seventy-five million, four hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1171 1960 2342 4684 5087 5855 8197 9368 10174 11710 16394 20348 23420 25435 32788 35609 40696 40985 46840 50870 57379 65576 71218 81970 101740 114758 142436 163940 178045 203480 229516 249263 284872 286895 327880 356090 459032 498526 573790 712180 997052 1147580 1246315 1424360 1994104 2295160 2492630 4985260 5956877 9970520 11913754 23827508 29784385 41698139 47655016 59568770 83396278 119137540 166792556 208490695 238275080 291886973 333585112 416981390 583773946 833962780 1167547892 1459434865 1667925560 2335095784 2918869730 5837739460 11675478920