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4125914160 = 243517191309
BaseRepresentation
bin1111010111101100…
…0111010000110000
3101122112122011012120
43311323013100300
531422213223120
61521224354240
7204146456154
oct36573072060
911575564176
104125914160
111827a75415
12971915980
13509a39534
142b1d6d064
15192348140
hexf5ec7430

4125914160 has 40 divisors (see below), whose sum is σ = 12790334640. Its totient is φ = 1100243712.

The previous prime is 4125914137. The next prime is 4125914167. The reversal of 4125914160 is 614195214.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4125914167) 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 7 ways as a sum of consecutive naturals, for example, 8595415 + ... + 8595894.

It is an arithmetic number, because the mean of its divisors is an integer number (319758366).

Almost surely, 24125914160 is an apocalyptic number.

4125914160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4125914160 is an abundant number, since it is smaller than the sum of its proper divisors (8664420480).

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

4125914160 is a wasteful number, since it uses less digits than its factorization.

4125914160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17191325 (or 17191319 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4125914160 is about 64233.2792250248. The cubic root of 4125914160 is about 1603.8856289577.

The spelling of 4125914160 in words is "four billion, one hundred twenty-five million, nine hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17191309 34382618 51573927 68765236 85956545 103147854 137530472 171913090 206295708 257869635 275060944 343826180 412591416 515739270 687652360 825182832 1031478540 1375304720 2062957080 4125914160