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1661156006600 = 235223899940129
BaseRepresentation
bin11000001011000100100…
…111010001101011001000
312212210201211002111122202
4120023010213101223020
5204204021414202400
63311042522135332
7231004665040256
oct30130447215310
95783654074582
101661156006600
11590546294402
12229b39951548
13c08530132ac
145a5868db5d6
152d3255824d5
hex182c49d1ac8

1661156006600 has 96 divisors (see below), whose sum is σ = 4030657200000. Its totient is φ = 635486269440.

The previous prime is 1661156006569. The next prime is 1661156006651. The reversal of 1661156006600 is 66006511661.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 41375336 + ... + 41415464.

It is an arithmetic number, because the mean of its divisors is an integer number (41986012500).

Almost surely, 21661156006600 is an apocalyptic number.

1661156006600 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 1661156006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015328600000).

1661156006600 is an abundant number, since it is smaller than the sum of its proper divisors (2369501193400).

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

1661156006600 is a wasteful number, since it uses less digits than its factorization.

1661156006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49167 (or 49158 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 1661156006600 in words is "one trillion, six hundred sixty-one billion, one hundred fifty-six million, six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 8999 17998 35996 40129 44995 71992 80258 89990 160516 179980 200645 206977 224975 321032 359960 401290 413954 449950 802580 827908 899900 922967 1003225 1034885 1605160 1655816 1799800 1845934 2006450 2069770 3691868 4012900 4139540 4614835 5174425 7383736 8025800 8279080 9229670 10348850 18459340 20697700 23074175 36918680 41395400 46148350 92296700 184593400 361120871 722241742 1444483484 1805604355 2888966968 3611208710 7222417420 8305780033 9028021775 14444834840 16611560066 18056043550 33223120132 36112087100 41528900165 66446240264 72224174200 83057800330 166115600660 207644500825 332231201320 415289001650 830578003300 1661156006600