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109969466940 = 22345217931153
BaseRepresentation
bin110011001101010110…
…0001110011000111100
3101111211221221201220000
41212122230032120330
53300204140420230
6122304055154300
710642101021534
oct1463254163074
9344757851800
10109969466940
1142701996183
1219390675990
13a4a70993c8
1454731164c4
152cd95b5b60
hex199ab0e63c

109969466940 has 120 divisors (see below), whose sum is σ = 345147689040. Its totient is φ = 29310792192.

The previous prime is 109969466923. The next prime is 109969466963. The reversal of 109969466940 is 49664969901.

109969466940 is a `hidden beast` number, since 109 + 9 + 69 + 466 + 9 + 4 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 3514404 + ... + 3545556.

It is an arithmetic number, because the mean of its divisors is an integer number (2876230742).

Almost surely, 2109969466940 is an apocalyptic number.

109969466940 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 109969466940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172573844520).

109969466940 is an abundant number, since it is smaller than the sum of its proper divisors (235178222100).

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

109969466940 is a wasteful number, since it uses less digits than its factorization.

109969466940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33353 (or 33342 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 109969466940 in words is "one hundred nine billion, nine hundred sixty-nine million, four hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2179 4358 6537 8716 10895 13074 19611 21790 26148 31153 32685 39222 43580 58833 62306 65370 78444 93459 98055 117666 124612 130740 155765 176499 186918 196110 235332 280377 294165 311530 352998 373836 392220 467295 560754 588330 623060 705996 841131 882495 934590 1121508 1176660 1401885 1682262 1764990 1869180 2523393 2803770 3364524 3529980 4205655 5046786 5607540 8411310 10093572 12616965 16822620 25233930 50467860 67882387 135764774 203647161 271529548 339411935 407294322 610941483 678823870 814588644 1018235805 1221882966 1357647740 1832824449 2036471610 2443765932 3054707415 3665648898 4072943220 5498473347 6109414830 7331297796 9164122245 10996946694 12218829660 18328244490 21993893388 27492366735 36656488980 54984733470 109969466940