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4134893100 = 22352131060229
BaseRepresentation
bin1111011001110101…
…0111011000101100
3101200011112022222220
43312131113120230
531432013034400
61522145035340
7204316003632
oct36635273054
911604468886
104134893100
111832048428
12974925b50
1350b861410
142b3229352
1519301d7a0
hexf675762c

4134893100 has 72 divisors (see below), whose sum is σ = 12883914960. Its totient is φ = 1017818880.

The previous prime is 4134893093. The next prime is 4134893117. The reversal of 4134893100 is 13984314.

It is a super-2 number, since 2×41348931002 = 34194681896855220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526215 + ... + 534014.

Almost surely, 24134893100 is an apocalyptic number.

It is an amenable number.

4134893100 is an abundant number, since it is smaller than the sum of its proper divisors (8749021860).

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

4134893100 is a wasteful number, since it uses less digits than its factorization.

4134893100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060259 (or 1060252 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4134893100 is about 64303.1344492630. The cubic root of 4134893100 is about 1605.0482608910.

The spelling of 4134893100 in words is "four billion, one hundred thirty-four million, eight hundred ninety-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 1060229 2120458 3180687 4240916 5301145 6361374 10602290 12722748 13782977 15903435 21204580 26505725 27565954 31806870 41348931 53011450 55131908 63613740 68914885 79517175 82697862 106022900 137829770 159034350 165395724 206744655 275659540 318068700 344574425 413489310 689148850 826978620 1033723275 1378297700 2067446550 4134893100