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2145105888 = 253531732437
BaseRepresentation
bin111111111011011…
…1011011111100000
312112111101200002020
41333312323133200
513343121342023
6552505021440
7104105046012
oct17766733740
95474350066
102145105888
11a00946892
124ba484880
13282551733
14164c6c1b2
15c84c6de3
hex7fdbb7e0

2145105888 has 96 divisors (see below), whose sum is σ = 5772676896. Its totient is φ = 697202688.

The previous prime is 2145105863. The next prime is 2145105899. The reversal of 2145105888 is 8885015412.

It is a tau number, because it is divible by the number of its divisors (96).

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, 879006 + ... + 881442.

It is an arithmetic number, because the mean of its divisors is an integer number (60132051).

Almost surely, 22145105888 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 2145105888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886338448).

2145105888 is an abundant number, since it is smaller than the sum of its proper divisors (3627571008).

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

2145105888 is a wasteful number, since it uses less digits than its factorization.

2145105888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The square root of 2145105888 is about 46315.2878432165. The cubic root of 2145105888 is about 1289.6828112646.

The spelling of 2145105888 in words is "two billion, one hundred forty-five million, one hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 173 212 318 346 424 519 636 692 848 1038 1272 1384 1696 2076 2437 2544 2768 4152 4874 5088 5536 7311 8304 9169 9748 14622 16608 18338 19496 27507 29244 36676 38992 55014 58488 73352 77984 110028 116976 129161 146704 220056 233952 258322 293408 387483 421601 440112 516644 774966 843202 880224 1033288 1264803 1549932 1686404 2066576 2529606 3099864 3372808 4133152 5059212 6199728 6745616 10118424 12399456 13491232 20236848 22344853 40473696 44689706 67034559 89379412 134069118 178758824 268138236 357517648 536276472 715035296 1072552944 2145105888