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8064424725 = 3527173724421
BaseRepresentation
bin1111000001010110…
…10101101100010101
3202211000122020000020
413200223111230111
5113003443042400
63412120335353
7403562323230
oct74053255425
922730566006
108064424725
113469180725
121690914559
139b69ac066
14567078417
15322ec42a0
hex1e0ad5b15

8064424725 has 96 divisors (see below), whose sum is σ = 16571010816. Its totient is φ = 3375820800.

The previous prime is 8064424679. The next prime is 8064424727. The reversal of 8064424725 is 5274244608.

It is a happy number.

It is not a de Polignac number, because 8064424725 - 29 = 8064424213 is a prime.

It is a super-2 number, since 2×80644247252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064424727) 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 95 ways as a sum of consecutive naturals, for example, 318015 + ... + 342435.

It is an arithmetic number, because the mean of its divisors is an integer number (172614696).

Almost surely, 28064424725 is an apocalyptic number.

8064424725 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8064424725 is an abundant number, since it is smaller than the sum of its proper divisors (8506586091).

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

8064424725 is a wasteful number, since it uses less digits than its factorization.

8064424725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24495 (or 24490 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 8064424725 is about 89802.1420958320. The cubic root of 8064424725 is about 2005.3543796007.

The spelling of 8064424725 in words is "eight billion, sixty-four million, four hundred twenty-four thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 37 51 75 85 105 111 119 175 185 255 259 357 425 525 555 595 629 777 925 1275 1295 1785 1887 2775 2975 3145 3885 4403 6475 8925 9435 13209 15725 19425 22015 24421 47175 66045 73263 110075 122105 170947 330225 366315 415157 512841 610525 854735 903577 1245471 1831575 2075785 2564205 2710731 2906099 4273675 4517885 6227355 6325039 8718297 10378925 12821025 13553655 14530495 15360809 18975117 22589425 31136775 31625195 43591485 46082427 67768275 72652475 76804045 94875585 107525663 158125975 217957425 230412135 322576989 384020225 474377925 537628315 1152060675 1612884945 2688141575 8064424725