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1427940556672 = 27778710391949
BaseRepresentation
bin10100110001110111111…
…000111011111110000000
312001111202122002010201011
4110301313320323332000
5141343410240303142
63011553053450304
7205110461315650
oct24616770737600
95044678063634
101427940556672
1150064a244043
121b08b24a0994
13a4867411146
144d181324360
1527226083417
hex14c77e3bf80

1427940556672 has 128 divisors (see below), whose sum is σ = 3260050560000. Its totient is φ = 610295371776.

The previous prime is 1427940556643. The next prime is 1427940556697. The reversal of 1427940556672 is 2766550497241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732651954 + ... + 732653902.

It is an arithmetic number, because the mean of its divisors is an integer number (25469145000).

Almost surely, 21427940556672 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 1427940556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630025280000).

1427940556672 is an abundant number, since it is smaller than the sum of its proper divisors (1832110003328).

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

1427940556672 is a wasteful number, since it uses less digits than its factorization.

1427940556672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 1427940556672 in words is "one trillion, four hundred twenty-seven billion, nine hundred forty million, five hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 787 896 1039 1574 1949 2078 3148 3898 4156 5509 6296 7273 7796 8312 11018 12592 13643 14546 15592 16624 22036 25184 27286 29092 31184 33248 44072 50368 54572 58184 62368 66496 88144 100736 109144 116368 124736 132992 176288 218288 232736 249472 352576 436576 465472 705152 817693 873152 930944 1533863 1635386 1746304 2025011 3067726 3270772 4050022 5723851 6135452 6541544 8100044 10737041 11447702 12270904 13083088 14175077 16200088 21474082 22895404 24541808 26166176 28350154 32400176 42948164 45790808 49083616 52332352 56700308 64800352 85896328 91581616 98167232 104664704 113400616 129600704 171792656 183163232 196334464 226801232 259201408 343585312 366326464 453602464 687170624 732652928 907204928 1374341248 1593683657 1814409856 3187367314 6374734628 11155785599 12749469256 22311571198 25498938512 44623142396 50997877024 89246284792 101995754048 178492569584 203991508096 356985139168 713970278336 1427940556672