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2168933446000 = 24536117778143
BaseRepresentation
bin11111100011111110100…
…000011111000101110000
321200100101200221002001101
4133203332200133011300
5241013433430233000
64340221055014144
7312462123050236
oct37437640370560
97610350832041
102168933446000
11766926428172
122b042b50a354
131296b654b0c9
1476d96a12956
153b643d9be6a
hex1f8fe81f170

2168933446000 has 80 divisors (see below), whose sum is σ = 5330456471808. Its totient is φ = 853350816000.

The previous prime is 2168933445989. The next prime is 2168933446019. The reversal of 2168933446000 is 6443398612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 8767072 + ... + 9011071.

Almost surely, 22168933446000 is an apocalyptic number.

2168933446000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2168933446000 is an abundant number, since it is smaller than the sum of its proper divisors (3161523025808).

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

2168933446000 is a wasteful number, since it uses less digits than its factorization.

2168933446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17778227 (or 17778211 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 2168933446000 in words is "two trillion, one hundred sixty-eight billion, nine hundred thirty-three million, four hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 61000 122000 17778143 35556286 71112572 88890715 142225144 177781430 284450288 355562860 444453575 711125720 888907150 1084466723 1422251440 1777814300 2168933446 2222267875 3555628600 4337866892 4444535750 5422333615 7111257200 8675733784 8889071500 10844667230 17351467568 17778143000 21689334460 27111668075 35556286000 43378668920 54223336150 86757337840 108446672300 135558340375 216893344600 271116680750 433786689200 542233361500 1084466723000 2168933446000