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116665806920 = 235135341910103
BaseRepresentation
bin110110010100111010…
…0101111000001001000
3102011010122022001102212
41230221310233001020
53402412421310140
6125332345044252
711300041665605
oct1545164570110
9364118261385
10116665806920
1145528896553
121a73b186688
13b0034c2660
14590a5c96ac
15307c3eb765
hex1b29d2f048

116665806920 has 128 divisors (see below), whose sum is σ = 288739987200. Its totient is φ = 42158797824.

The previous prime is 116665806877. The next prime is 116665806923. The reversal of 116665806920 is 29608566611.

It is a happy number.

116665806920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1166658069202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116665806923) by changing a digit.

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, 11542589 + ... + 11552691.

It is an arithmetic number, because the mean of its divisors is an integer number (2255781150).

Almost surely, 2116665806920 is an apocalyptic number.

116665806920 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 116665806920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144369993600).

116665806920 is an abundant number, since it is smaller than the sum of its proper divisors (172074180280).

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

116665806920 is a wasteful number, since it uses less digits than its factorization.

116665806920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10599 (or 10595 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 116665806920 in words is "one hundred sixteen billion, six hundred sixty-five million, eight hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 419 424 520 530 689 838 1060 1378 1676 2095 2120 2756 3352 3445 4190 5447 5512 6890 8380 10103 10894 13780 16760 20206 21788 22207 27235 27560 40412 43576 44414 50515 54470 80824 88828 101030 108940 111035 131339 177656 202060 217880 222070 262678 288691 404120 444140 525356 535459 577382 656695 888280 1050712 1070918 1154764 1313390 1443455 2141836 2309528 2626780 2677295 2886910 4233157 4283672 5253560 5354590 5773820 6960967 8466314 10709180 11547640 13921934 16932628 21165785 21418360 27843868 33865256 34804835 42331570 55031041 55687736 69609670 84663140 110062082 139219340 169326280 220124164 224357321 275155205 278438680 440248328 448714642 550310410 897429284 1100620820 1121786605 1794858568 2201241640 2243573210 2916645173 4487146420 5833290346 8974292840 11666580692 14583225865 23333161384 29166451730 58332903460 116665806920