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4384108329664 = 26731535956151
BaseRepresentation
bin111111110011000001001…
…110000011101011000000
3120112010011001021120111011
4333303001032003223000
51033312123213022124
613154010452330304
7631512201640540
oct77630116035300
916463131246434
104384108329664
111440320949918
125a9805013994
1325a55bc4c83b
14112298acd320
157909265a994
hex3fcc1383ac0

4384108329664 has 112 divisors (see below), whose sum is σ = 10456906346496. Its totient is φ = 1783986048000.

The previous prime is 4384108329593. The next prime is 4384108329779. The reversal of 4384108329664 is 4669238014834.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4384108329599 and 4384108329608.

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, 2242012 + ... + 3714139.

Almost surely, 24384108329664 is an apocalyptic number.

It is an amenable number.

4384108329664 is an abundant number, since it is smaller than the sum of its proper divisors (6072798016832).

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

4384108329664 is a wasteful number, since it uses less digits than its factorization.

4384108329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956254 (or 5956244 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 58.

The spelling of 4384108329664 in words is "four trillion, three hundred eighty-four billion, one hundred eight million, three hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 53 56 62 64 106 112 124 212 217 224 248 371 424 434 448 496 742 848 868 992 1484 1643 1696 1736 1984 2968 3286 3392 3472 5936 6572 6944 11501 11872 13144 13888 23002 23744 26288 46004 52576 92008 105152 184016 368032 736064 5956151 11912302 23824604 41693057 47649208 83386114 95298416 166772228 184640681 190596832 315676003 333544456 369281362 381193664 631352006 667088912 738562724 1262704012 1292484767 1334177824 1477125448 2209732021 2525408024 2584969534 2668355648 2954250896 4419464042 5050816048 5169939068 5908501792 8838928084 9785956093 10101632096 10339878136 11817003584 17677856168 19571912186 20203264192 20679756272 35355712336 39143824372 41359512544 68501692651 70711424672 78287648744 82719025088 137003385302 141422849344 156575297488 274006770604 313150594976 548013541208 626301189952 1096027082416 2192054164832 4384108329664