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11819408340 = 2235714436263
BaseRepresentation
bin10110000000111110…
…11101101111010100
31010111201022011011110
423000133131233110
5143201232031330
65232454535020
7565616212305
oct130037355724
933451264143
1011819408340
115015825473
12235a367470
13116491455c
14801a4c7ac
1549299bdb0
hex2c07ddbd4

11819408340 has 96 divisors (see below), whose sum is σ = 33641588736. Its totient is φ = 3099940480.

The previous prime is 11819408327. The next prime is 11819408357. The reversal of 11819408340 is 4380491811.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1884049 + ... + 1890311.

It is an arithmetic number, because the mean of its divisors is an integer number (350433216).

Almost surely, 211819408340 is an apocalyptic number.

11819408340 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 11819408340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16820794368).

11819408340 is an abundant number, since it is smaller than the sum of its proper divisors (21822180396).

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

11819408340 is a wasteful number, since it uses less digits than its factorization.

11819408340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11819408340 in words is "eleven billion, eight hundred nineteen million, four hundred eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 443 710 852 886 1065 1329 1420 1772 2130 2215 2658 4260 4430 5316 6263 6645 8860 12526 13290 18789 25052 26580 31315 31453 37578 62630 62906 75156 93945 94359 125260 125812 157265 187890 188718 314530 375780 377436 444673 471795 629060 889346 943590 1334019 1778692 1887180 2223365 2668038 2774509 4446730 5336076 5549018 6670095 8323527 8893460 11098036 13340190 13872545 16647054 26680380 27745090 33294108 41617635 55490180 83235270 166470540 196990139 393980278 590970417 787960556 984950695 1181940834 1969901390 2363881668 2954852085 3939802780 5909704170 11819408340