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2123567028160 = 26541173935591
BaseRepresentation
bin11110111001101110011…
…101010101011111000000
321112000022001000021012121
4132321232131111133000
5234243031124400120
64303315255134024
7306264653625334
oct36715635253700
97460261007177
102123567028160
11749666253a66
122a368a374314
13125336755c96
1474ad18417c4
153a38b1d05aa
hex1ee6e7557c0

2123567028160 has 112 divisors (see below), whose sum is σ = 5210027428032. Its totient is φ = 823917977600.

The previous prime is 2123567028151. The next prime is 2123567028217. The reversal of 2123567028160 is 618207653212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1801965 + ... + 2737555.

It is an arithmetic number, because the mean of its divisors is an integer number (46518102036).

Almost surely, 22123567028160 is an apocalyptic number.

2123567028160 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 2123567028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605013714016).

2123567028160 is an abundant number, since it is smaller than the sum of its proper divisors (3086460399872).

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

2123567028160 is a wasteful number, since it uses less digits than its factorization.

2123567028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935822 (or 935812 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 2123567028160 in words is "two trillion, one hundred twenty-three billion, five hundred sixty-seven million, twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 173 205 320 328 346 410 656 692 820 865 1312 1384 1640 1730 2624 2768 3280 3460 5536 6560 6920 7093 11072 13120 13840 14186 27680 28372 35465 55360 56744 70930 113488 141860 226976 283720 453952 567440 935591 1134880 1871182 2269760 3742364 4677955 7484728 9355910 14969456 18711820 29938912 37423640 38359231 59877824 74847280 76718462 149694560 153436924 161857243 191796155 299389120 306873848 323714486 383592310 613747696 647428972 767184620 809286215 1227495392 1294857944 1534369240 1618572430 2454990784 2589715888 3068738480 3237144860 5179431776 6137476960 6474289720 6636146963 10358863552 12274953920 12948579440 13272293926 25897158880 26544587852 33180734815 51794317760 53089175704 66361469630 106178351408 132722939260 212356702816 265445878520 424713405632 530891757040 1061783514080 2123567028160