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2102166511544 = 231173833979931
BaseRepresentation
bin11110100101110010111…
…000110101111110111000
321102222001121011101100002
4132211302320311332320
5233420214111332134
64245415535532132
7304606434344531
oct36456270657670
97388047141302
102102166511544
117405842130a0
1229b4b738a048
13123305b7b6b8
1473a61551688
1539a3751b87e
hex1e972e35fb8

2102166511544 has 128 divisors (see below), whose sum is σ = 4422861031680. Its totient is φ = 928647244800.

The previous prime is 2102166511531. The next prime is 2102166511553. The reversal of 2102166511544 is 4451156612012.

It is a junction number, because it is equal to n+sod(n) for n = 2102166511498 and 2102166511507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211672259 + ... + 211682189.

It is an arithmetic number, because the mean of its divisors is an integer number (34553601810).

Almost surely, 22102166511544 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 2102166511544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211430515840).

2102166511544 is an abundant number, since it is smaller than the sum of its proper divisors (2320694520136).

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

2102166511544 is a wasteful number, since it uses less digits than its factorization.

2102166511544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 2102166511544 in words is "two trillion, one hundred two billion, one hundred sixty-six million, five hundred eleven thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 73 83 88 146 166 292 332 397 584 664 794 803 913 1588 1606 1826 3176 3212 3652 4367 6059 6424 7304 8734 9931 12118 17468 19862 24236 28981 32951 34936 39724 48472 57962 65902 66649 79448 109241 115924 131804 133298 218482 231848 263608 266596 318791 362461 436964 533192 637582 724922 724963 824273 873928 1275164 1449844 1449926 1648546 2405423 2550328 2899688 2899852 3297092 3942607 4810846 5799704 6594184 7885214 7974593 9067003 9621692 15770428 15949186 18134006 19243384 26459653 31540856 31898372 36268012 43368677 52919306 60171929 63796744 72536024 86737354 105838612 120343858 173474708 211677224 240687716 287810311 327236381 346949416 481375432 575620622 654472762 661891219 1151241244 1308945524 1323782438 2302482488 2617891048 2647564876 3165913421 3599600191 5295129752 6331826842 7199200382 12663653684 14398400764 23888255813 25327307368 28796801528 47776511626 95553023252 191106046504 262770813943 525541627886 1051083255772 2102166511544