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4349414444648 = 237136973985669
BaseRepresentation
bin111111010010101101010…
…011011000111001101000
3120101210121011121121100212
4333102231103120321220
51032230100044212043
613130032102120252
7626143354532660
oct77225523307150
916353534547325
104349414444648
111427638079579
125a2b42120088
132571c02880b0
141107271091a0
15782118e6018
hex3f4ad4d8e68

4349414444648 has 64 divisors (see below), whose sum is σ = 10037371344000. Its totient is φ = 1720602715392.

The previous prime is 4349414444629. The next prime is 4349414444663. The reversal of 4349414444648 is 8464444149434.

It is a happy number.

It is a super-2 number, since 2×43494144446482 (a number of 26 digits) contains 22 as substring.

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, 50727158 + ... + 50812826.

It is an arithmetic number, because the mean of its divisors is an integer number (156833927250).

Almost surely, 24349414444648 is an apocalyptic number.

It is an amenable number.

4349414444648 is an abundant number, since it is smaller than the sum of its proper divisors (5687956899352).

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

4349414444648 is a wasteful number, since it uses less digits than its factorization.

4349414444648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155434 (or 155430 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 59.

The spelling of 4349414444648 in words is "four trillion, three hundred forty-nine billion, four hundred fourteen million, four hundred forty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 69739 85669 139478 171338 278956 342676 488173 557912 599683 685352 906607 976346 1113697 1199366 1813214 1952692 2227394 2398732 3626428 3905384 4454788 4797464 6346249 7252856 7795879 8909576 12692498 15591758 25384996 31183516 50769992 62367032 5974470391 11948940782 23897881564 41821292737 47795763128 77668115083 83642585474 155336230166 167285170948 310672460332 334570341896 543676805581 621344920664 1087353611162 2174707222324 4349414444648