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6425315120 = 245721986269
BaseRepresentation
bin1011111101111101…
…01000011100110000
3121120210100211100002
411332332220130300
5101124340040440
62541324445132
7315140164100
oct57676503460
917523324302
106425315120
1127a7a17394
1212b39a97a8
137b5231b13
1444d4c3200
1527914c115
hex17efa8730

6425315120 has 120 divisors (see below), whose sum is σ = 18292690800. Its totient is φ = 2086995456.

The previous prime is 6425315107. The next prime is 6425315159. The reversal of 6425315120 is 215135246.

It is a super-2 number, since 2×64253151202 = 82569348782601228800, 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, 31346 + ... + 117614.

It is an arithmetic number, because the mean of its divisors is an integer number (152439090).

Almost surely, 26425315120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6425315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9146345400).

6425315120 is an abundant number, since it is smaller than the sum of its proper divisors (11867375680).

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

6425315120 is a wasteful number, since it uses less digits than its factorization.

6425315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86315 (or 86302 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 6425315120 is about 80158.0633498589. The cubic root of 6425315120 is about 1859.0802791008.

The spelling of 6425315120 in words is "six billion, four hundred twenty-five million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 190 196 245 266 280 304 380 392 490 532 560 665 760 784 931 980 1064 1330 1520 1862 1960 2128 2660 3724 3920 4655 5320 7448 9310 10640 14896 18620 37240 74480 86269 172538 345076 431345 603883 690152 862690 1207766 1380304 1639111 1725380 2415532 3019415 3278222 3450760 4227181 4831064 6038830 6556444 6901520 8195555 8454362 9662128 11473777 12077660 13112888 16391110 16908724 21135905 22947554 24155320 26225776 32782220 33817448 42271810 45895108 48310640 57368885 65564440 67634896 80316439 84543620 91790216 114737770 131128880 160632878 169087240 183580432 229475540 321265756 338174480 401582195 458951080 642531512 803164390 917902160 1285063024 1606328780 3212657560 6425315120