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2102932268160 = 27352851384173
BaseRepresentation
bin11110100110100000100…
…001111110010010000000
321110001000222001211221020
4132212200201332102000
5233423301130040120
64250023532425440
7304634423230233
oct36464041762200
97401028054836
102102932268160
117409374953a9
1229b68b918280
131233c8702019
1473ad512541a
1539a7e87c640
hex1e9a087e480

2102932268160 has 128 divisors (see below), whose sum is σ = 6705465197760. Its totient is φ = 560583782400.

The previous prime is 2102932268153. The next prime is 2102932268161. The reversal of 2102932268160 is 618622392012.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2102932268161) 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 15 ways as a sum of consecutive naturals, for example, 5281834 + ... + 5666006.

Almost surely, 22102932268160 is an apocalyptic number.

2102932268160 is a gapful number since it is divisible by the number (20) 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 2102932268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352732598880).

2102932268160 is an abundant number, since it is smaller than the sum of its proper divisors (4602532929600).

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

2102932268160 is a wasteful number, since it uses less digits than its factorization.

2102932268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387046 (or 387034 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2102932268160 in words is "two trillion, one hundred two billion, nine hundred thirty-two million, two hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2851 5702 8553 11404 14255 17106 22808 28510 34212 42765 45616 57020 68424 85530 91232 114040 136848 171060 182464 228080 273696 342120 364928 384173 456160 547392 684240 768346 912320 1094784 1152519 1368480 1536692 1824640 1920865 2305038 2736960 3073384 3841730 4610076 5473920 5762595 6146768 7683460 9220152 11525190 12293536 15366920 18440304 23050380 24587072 30733840 36880608 46100760 49174144 61467680 73761216 92201520 122935360 147522432 184403040 245870720 368806080 737612160 1095277223 2190554446 3285831669 4381108892 5476386115 6571663338 8762217784 10952772230 13143326676 16429158345 17524435568 21905544460 26286653352 32858316690 35048871136 43811088920 52573306704 65716633380 70097742272 87622177840 105146613408 131433266760 140195484544 175244355680 210293226816 262866533520 350488711360 420586453632 525733067040 700977422720 1051466134080 2102932268160