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4064734125 = 325319397479
BaseRepresentation
bin1111001001000110…
…1110101110101101
3101111021111212222100
43302101232232231
531311032443000
61511201205313
7202504445544
oct36221565655
911437455870
104064734125
1117a6488a01
12955330839
134ca16842a
142a7ba515b
1518bcb0a00
hexf246ebad

4064734125 has 96 divisors (see below), whose sum is σ = 7748582400. Its totient is φ = 2044310400.

The previous prime is 4064734117. The next prime is 4064734127. The reversal of 4064734125 is 5214374604.

4064734125 is a `hidden beast` number, since 4 + 0 + 647 + 3 + 4 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 4064734125 - 23 = 4064734117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4064734125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064734127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8485636 + ... + 8486114.

It is an arithmetic number, because the mean of its divisors is an integer number (80714400).

Almost surely, 24064734125 is an apocalyptic number.

4064734125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4064734125 is a deficient number, since it is larger than the sum of its proper divisors (3683848275).

4064734125 is a wasteful number, since it uses less digits than its factorization.

4064734125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4064734125 is about 63755.2674294446. The cubic root of 4064734125 is about 1595.9185198288.

The spelling of 4064734125 in words is "four billion, sixty-four million, seven hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 375 397 475 479 855 1125 1191 1425 1437 1985 2375 2395 3573 4275 4311 5955 7125 7185 7543 9101 9925 11975 17865 21375 21555 22629 27303 29775 35925 37715 45505 49625 59875 67887 81909 89325 107775 113145 136515 148875 179625 188575 190163 227525 339435 409545 446625 538875 565725 570489 682575 942875 950815 1137625 1697175 1711467 2047725 2828625 2852445 3412875 3613097 4754075 8485875 8557335 10238625 10839291 14262225 18065485 23770375 32517873 42786675 54196455 71311125 90327425 162589365 213933375 270982275 451637125 812946825 1354911375 4064734125