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81683433664 = 2671367133379
BaseRepresentation
bin100110000010010110…
…1100100100011000000
321210211122210100211221
41030010231210203000
52314241424334124
6101305211244424
75621122505320
oct1140455444300
9253748710757
1081683433664
1131707194778
12139b7749714
137919b30b01
143d4c58b280
1521d119dce4
hex1304b648c0

81683433664 has 56 divisors (see below), whose sum is σ = 185383261440. Its totient is φ = 34981314816.

The previous prime is 81683433649. The next prime is 81683433673. The reversal of 81683433664 is 46633438618.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545727 + ... + 679105.

Almost surely, 281683433664 is an apocalyptic number.

It is an amenable number.

81683433664 is an abundant number, since it is smaller than the sum of its proper divisors (103699827776).

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

81683433664 is a wasteful number, since it uses less digits than its factorization.

81683433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134765 (or 134755 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 52.

The spelling of 81683433664 in words is "eighty-one billion, six hundred eighty-three million, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1367 2734 5468 9569 10936 19138 21872 38276 43744 76552 87488 133379 153104 266758 306208 533516 612416 933653 1067032 1867306 2134064 3734612 4268128 7469224 8536256 14938448 29876896 59753792 182329093 364658186 729316372 1276303651 1458632744 2552607302 2917265488 5105214604 5834530976 10210429208 11669061952 20420858416 40841716832 81683433664