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256477103376012 = 223241193900336659
BaseRepresentation
bin111010010100001110111010…
…101000111100011010001100
31020122002222020022111120111100
4322110032322220330122030
5232104110101431013022
62305251542115023100
7105010600500242631
oct7224167250743214
91218088208446440
10256477103376012
11747a3368569842
1224922b92b9aa90
13b0158c165689c
1447497b5382188
151e9b8585ca1ac
hexe943baa3c68c

256477103376012 has 72 divisors (see below), whose sum is σ = 667570822616880. Its totient is φ = 82975026401280.

The previous prime is 256477103375957. The next prime is 256477103376103. The reversal of 256477103376012 is 210673301774652.

256477103376012 is a `hidden beast` number, since 2 + 5 + 6 + 477 + 103 + 3 + 7 + 60 + 1 + 2 = 666.

256477103376012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2564771033760122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256477103376012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449883462 + ... + 450453197.

It is an arithmetic number, because the mean of its divisors is an integer number (9271816980790).

Almost surely, 2256477103376012 is an apocalyptic number.

It is an amenable number.

256477103376012 is an abundant number, since it is smaller than the sum of its proper divisors (411093719240868).

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

256477103376012 is a wasteful number, since it uses less digits than its factorization.

256477103376012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900336903 (or 900336898 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 256477103376012 in words is "two hundred fifty-six trillion, four hundred seventy-seven billion, one hundred three million, three hundred seventy-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 193 246 369 386 492 579 738 772 1158 1476 1737 2316 3474 6948 7913 15826 23739 31652 47478 71217 94956 142434 284868 900336659 1800673318 2701009977 3601346636 5402019954 8103029931 10804039908 16206059862 32412119724 36913803019 73827606038 110741409057 147655212076 173764975187 221482818114 332224227171 347529950374 442965636228 521294925561 664448454342 695059900748 1042589851122 1328896908684 1563884776683 2085179702244 3127769553366 6255539106732 7124363982667 14248727965334 21373091948001 28497455930668 42746183896002 64119275844003 85492367792004 128238551688006 256477103376012