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909100000116 = 2232711793341341
BaseRepresentation
bin11010011101010101001…
…01010010001101110100
310012220112202000222121200
431032222211102031310
5104343314100000431
61533345040012500
7122452226334060
oct15165245221564
93186482028550
10909100000116
11320602282650
12128233901130
136795cb7cc69
1432001bccaa0
15189ab3acee6
hexd3aa952374

909100000116 has 144 divisors (see below), whose sum is σ = 2865472891008. Its totient is φ = 236094393600.

The previous prime is 909100000087. The next prime is 909100000117. The reversal of 909100000116 is 611000001909.

909100000116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9091000001162 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 909100000116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909100000117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21969606 + ... + 22010946.

Almost surely, 2909100000116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 909100000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432736445504).

909100000116 is an abundant number, since it is smaller than the sum of its proper divisors (1956372890892).

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

909100000116 is a wasteful number, since it uses less digits than its factorization.

909100000116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49302 (or 49297 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 909100000116 in words is "nine hundred nine billion, one hundred million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 7933 15866 23799 31732 41341 47598 55531 71397 82682 87263 95196 111062 124023 142794 165364 166593 174526 222124 248046 261789 285588 289387 333186 349052 372069 454751 496092 499779 523578 578774 610841 666372 744138 785367 868161 909502 999558 1047156 1157548 1221682 1364253 1488276 1570734 1736322 1819004 1832523 1999116 2443364 2604483 2728506 3141468 3183257 3472644 3665046 4092759 5208966 5457012 5497569 6366514 7330092 8185518 9549771 10417932 10995138 12733028 16371036 19099542 21990276 28649313 38199084 57298626 114597252 327958153 655916306 983874459 1311832612 1967748918 2295707071 2951623377 3607539683 3935497836 4591414142 5903246754 6887121213 7215079366 9182828284 10822619049 11806493508 13774242426 14430158732 20661363639 21645238098 25252777781 27548484852 32467857147 41322727278 43290476196 50505555562 64935714294 75758333343 82645454556 101011111124 129871428588 151516666686 227275000029 303033333372 454550000058 909100000116