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168586919440 = 24519110912447
BaseRepresentation
bin1001110100000010010…
…0000011111000010000
3121010011010000212000021
42131000210003320100
510230231222410230
6205240414433224
715115512112522
oct2350044037020
9533133025007
10168586919440
1165551a148a5
122880b502814
1312b89278844
14823411ba12
1545ba76ec7a
hex2740903e10

168586919440 has 40 divisors (see below), whose sum is σ = 412594306560. Its totient is φ = 63885568896.

The previous prime is 168586919437. The next prime is 168586919441. The reversal of 168586919440 is 44919685861.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (168586919441) by changing a digit.

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, 55454704 + ... + 55457743.

It is an arithmetic number, because the mean of its divisors is an integer number (10314857664).

Almost surely, 2168586919440 is an apocalyptic number.

168586919440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168586919440 is an abundant number, since it is smaller than the sum of its proper divisors (244007387120).

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

168586919440 is a wasteful number, since it uses less digits than its factorization.

168586919440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110912479 (or 110912473 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 168586919440 in words is "one hundred sixty-eight billion, five hundred eighty-six million, nine hundred nineteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 110912447 221824894 443649788 554562235 887299576 1109124470 1774599152 2107336493 2218248940 4214672986 4436497880 8429345972 8872995760 10536682465 16858691944 21073364930 33717383888 42146729860 84293459720 168586919440