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4115855120 = 2451331127663
BaseRepresentation
bin1111010101010010…
…1111011100010000
3101121211201002210112
43311110233130100
531412124330440
61520225020452
7203665122416
oct36524573420
911554632715
104115855120
111822324963
1296a484728
13507926b40
142b08b12b6
1519150c965
hexf552f710

4115855120 has 80 divisors (see below), whose sum is σ = 10637985792. Its totient is φ = 1470666240.

The previous prime is 4115855119. The next prime is 4115855179. The reversal of 4115855120 is 215585114.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 31592 + ... + 96071.

Almost surely, 24115855120 is an apocalyptic number.

4115855120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115855120 is an abundant number, since it is smaller than the sum of its proper divisors (6522130672).

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

4115855120 is a wasteful number, since it uses less digits than its factorization.

4115855120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127720 (or 127714 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 32.

The square root of 4115855120 is about 64154.9305977335. The cubic root of 4115855120 is about 1602.5811359301.

The spelling of 4115855120 in words is "four billion, one hundred fifteen million, eight hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 8060 16120 32240 127663 255326 510652 638315 1021304 1276630 1659619 2042608 2553260 3319238 3957553 5106520 6638476 7915106 8298095 10213040 13276952 15830212 16596190 19787765 26553904 31660424 33192380 39575530 51448189 63320848 66384760 79151060 102896378 132769520 158302120 205792756 257240945 316604240 411585512 514481890 823171024 1028963780 2057927560 4115855120