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66425104640 = 2851274011019
BaseRepresentation
bin111101110111001111…
…101010100100000000
320100110021112221100202
4331313033222210000
52042014311322030
650303144304332
74541035034126
oct756717524400
9210407487322
1066425104640
11261972702a4
1210a597720a8
13635791725b
143301d1d916
151adb85c745
hexf773ea900

66425104640 has 144 divisors (see below), whose sum is σ = 160919377920. Its totient is φ = 26269286400.

The previous prime is 66425104639. The next prime is 66425104643. The reversal of 66425104640 is 4640152466.

It is a junction number, because it is equal to n+sod(n) for n = 66425104594 and 66425104603.

It is not an unprimeable number, because it can be changed into a prime (66425104643) 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 15 ways as a sum of consecutive naturals, for example, 65186051 + ... + 65187069.

It is an arithmetic number, because the mean of its divisors is an integer number (1117495680).

Almost surely, 266425104640 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 66425104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80459688960).

66425104640 is an abundant number, since it is smaller than the sum of its proper divisors (94494273280).

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

66425104640 is a wasteful number, since it uses less digits than its factorization.

66425104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 66425104640 in words is "sixty-six billion, four hundred twenty-five million, one hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 401 508 635 640 802 1016 1019 1270 1280 1604 2005 2032 2038 2540 3208 4010 4064 4076 5080 5095 6416 8020 8128 8152 10160 10190 12832 16040 16256 16304 20320 20380 25664 32080 32512 32608 40640 40760 50927 51328 64160 65216 81280 81520 101854 102656 128320 129413 130432 162560 163040 203708 254635 256640 258826 260864 326080 407416 408619 509270 513280 517652 647065 652160 814832 817238 1018540 1035304 1294130 1304320 1629664 1634476 2037080 2043095 2070608 2588260 3259328 3268952 4074160 4086190 4141216 5176520 6518656 6537904 8148320 8172380 8282432 10353040 13037312 13075808 16296640 16344760 16564864 20706080 26151616 32593280 32689520 33129728 41412160 51894613 52303232 65186560 65379040 82824320 103789226 104606464 130758080 165648640 207578452 259473065 261516160 415156904 518946130 523032320 830313808 1037892260 1660627616 2075784520 3321255232 4151569040 6642510464 8303138080 13285020928 16606276160 33212552320 66425104640