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4416746346064 = 2413174726576167
BaseRepresentation
bin100000001000101101010…
…0110001101011001010000
3120122020101122110121001101
41000101122212031121100
51034330444031033224
613221005242314144
7634046043334363
oct100213246153120
916566348417041
104416746346064
11145314a193698
125b3bb34b8954
13260660a08590
14113ab36340da
1579d52b74044
hex4045a98d650

4416746346064 has 80 divisors (see below), whose sum is σ = 9965425171968. Its totient is φ = 1877765584896.

The previous prime is 4416746346059. The next prime is 4416746346083. The reversal of 4416746346064 is 4606436476144.

It is a junction number, because it is equal to n+sod(n) for n = 4416746345996 and 4416746346014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13121892 + ... + 13454275.

Almost surely, 24416746346064 is an apocalyptic number.

It is an amenable number.

4416746346064 is an abundant number, since it is smaller than the sum of its proper divisors (5548678825904).

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

4416746346064 is a wasteful number, since it uses less digits than its factorization.

4416746346064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26576252 (or 26576246 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 55.

The spelling of 4416746346064 in words is "four trillion, four hundred sixteen billion, seven hundred forty-six million, three hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 47 52 68 94 104 136 188 208 221 272 376 442 611 752 799 884 1222 1598 1768 2444 3196 3536 4888 6392 9776 10387 12784 20774 41548 83096 166192 26576167 53152334 106304668 212609336 345490171 425218672 451794839 690980342 903589678 1249079849 1381960684 1807179356 2498159698 2763921368 3614358712 4996319396 5527842736 5873332907 7228717424 9992638792 11746665814 16238038037 19985277584 21234357433 23493331628 32476076074 42468714866 46986663256 64952152148 84937429732 93973326512 129904304296 169874859464 259808608592 276046646629 339749718928 552093293258 1104186586516 2208373173032 4416746346064