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116661323460 = 223511953185477
BaseRepresentation
bin110110010100110001…
…1101000011011000100
3102011010022212021021210
41230221203220123010
53402410244322320
6125332105011420
711266655613363
oct1545143503304
9364108767253
10116661323460
1145526304010
121a739783b70
13b0025b2a16
145909b7d7da
15307bd130e0
hex1b298e86c4

116661323460 has 96 divisors (see below), whose sum is σ = 356723160192. Its totient is φ = 28251704320.

The previous prime is 116661323437. The next prime is 116661323473. The reversal of 116661323460 is 64323166611.

116661323460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536242 + ... + 721718.

It is an arithmetic number, because the mean of its divisors is an integer number (3715866252).

Almost surely, 2116661323460 is an apocalyptic number.

116661323460 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 116661323460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178361580096).

116661323460 is an abundant number, since it is smaller than the sum of its proper divisors (240061836732).

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

116661323460 is a wasteful number, since it uses less digits than its factorization.

116661323460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186453 (or 186451 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 116661323460 in words is "one hundred sixteen billion, six hundred sixty-one million, three hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 953 1906 2859 3812 4765 5718 9530 10483 11436 14295 19060 20966 28590 31449 41932 52415 57180 62898 104830 125796 157245 185477 209660 314490 370954 556431 628980 741908 927385 1112862 1854770 2040247 2225724 2782155 3709540 4080494 5564310 6120741 8160988 10201235 11128620 12241482 20402470 24482964 30603705 40804940 61207410 122414820 176759581 353519162 530278743 707038324 883797905 1060557486 1767595810 1944355391 2121114972 2651393715 3535191620 3888710782 5302787430 5833066173 7777421564 9721776955 10605574860 11666132346 19443553910 23332264692 29165330865 38887107820 58330661730 116661323460