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80190854491680 = 25345471071230377
BaseRepresentation
bin10010001110111011100011…
…011001010110111000100000
3101111221011121112020202020000
4102032323203121112320200
541002321332222213210
6442315100414420000
722614412062411642
oct2216734331267040
9344834545222200
1080190854491680
11236078288755a9
128bb1636b01600
133598c715157ba
1415b33881c4892
15940e3503cac0
hex48eee3656e20

80190854491680 has 480 divisors, whose sum is σ = 291729750149376. Its totient is φ = 20733627027456.

The previous prime is 80190854491651. The next prime is 80190854491729. The reversal of 80190854491680 is 8619445809108.

80190854491680 is a `hidden beast` number, since 8 + 0 + 1 + 9 + 0 + 8 + 544 + 9 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 64560652 + ... + 65791028.

Almost surely, 280190854491680 is an apocalyptic number.

80190854491680 is a gapful number since it is divisible by the number (80) 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 80190854491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145864875074688).

80190854491680 is an abundant number, since it is smaller than the sum of its proper divisors (211538895657696).

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

80190854491680 is a wasteful number, since it uses less digits than its factorization.

80190854491680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230558 (or 1230541 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 80190854491680 in words is "eighty trillion, one hundred ninety billion, eight hundred fifty-four million, four hundred ninety-one thousand, six hundred eighty".