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424964404316160 = 2113551072516359
BaseRepresentation
bin110000010100000001011110…
…0010111001000100000000000
32001201200012102000021122200000
41200220002330113020200000
5421200104100001104120
64103453541402400000
7155340444046261452
oct14050027427104000
92051605360248600
10424964404316160
1111345243448a065
123b7b4b47200000
1315317c82157c17
1476d255b9a02d2
15341e4756db990
hex18280bc5c8800

424964404316160 has 1152 divisors, whose sum is σ = 1548060580684800. Its totient is φ = 111799885824000.

The previous prime is 424964404316141. The next prime is 424964404316161. The reversal of 424964404316160 is 61613404469424.

424964404316160 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 6 + 4 + 40 + 431 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 424964404316097 and 424964404316106.

It is not an unprimeable number, because it can be changed into a prime (424964404316161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66828807061 + ... + 66828813419.

It is an arithmetic number, because the mean of its divisors is an integer number (1343802587400).

Almost surely, 2424964404316160 is an apocalyptic number.

424964404316160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424964404316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774030290342400).

424964404316160 is an abundant number, since it is smaller than the sum of its proper divisors (1123096176368640).

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

424964404316160 is a wasteful number, since it uses less digits than its factorization.

424964404316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 424964404316160 in words is "four hundred twenty-four trillion, nine hundred sixty-four billion, four hundred four million, three hundred sixteen thousand, one hundred sixty".