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11978321429856 = 2534111326931617
BaseRepresentation
bin1010111001001110101110…
…0110000000010101100000
31120102010010211000122012010
42232103223212000111200
53032223100241223411
641250433115032520
72344255654136055
oct256235346002540
946363124018163
1011978321429856
1138a8a8319a231
12141558b73b740
1368b72132c8a2
142d5a7a7cd02c
1515b8b4b357a6
hexae4eb980560

11978321429856 has 96 divisors (see below), whose sum is σ = 32495043919968. Its totient is φ = 3860916469760.

The previous prime is 11978321429813. The next prime is 11978321429869. The reversal of 11978321429856 is 65892412387911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13021041 + ... + 13910576.

It is an arithmetic number, because the mean of its divisors is an integer number (338490040833).

Almost surely, 211978321429856 is an apocalyptic number.

11978321429856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11978321429856 is an abundant number, since it is smaller than the sum of its proper divisors (20516722490112).

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

11978321429856 is a wasteful number, since it uses less digits than its factorization.

11978321429856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26931784 (or 26931776 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 66.

The spelling of 11978321429856 in words is "eleven trillion, nine hundred seventy-eight billion, three hundred twenty-one million, four hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 113 123 164 226 246 328 339 452 492 656 678 904 984 1312 1356 1808 1968 2712 3616 3936 4633 5424 9266 10848 13899 18532 27798 37064 55596 74128 111192 148256 222384 444768 26931617 53863234 80794851 107726468 161589702 215452936 323179404 430905872 646358808 861811744 1104196297 1292717616 2208392594 2585435232 3043272721 3312588891 4416785188 6086545442 6625177782 8833570376 9129818163 12173090884 13250355564 17667140752 18259636326 24346181768 26500711128 35334281504 36519272652 48692363536 53001422256 73038545304 97384727072 106002844512 124774181561 146077090608 249548363122 292154181216 374322544683 499096726244 748645089366 998193452488 1497290178732 1996386904976 2994580357464 3992773809952 5989160714928 11978321429856