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19428185180160 = 211335591191013
BaseRepresentation
bin1000110101011011110100…
…00100111000100000000000
32112210022112121222221202000
410122231322010320200000
510021302410401231120
6105153103550024000
74043432353162521
oct432557204704000
975708477887660
1019428185180160
1162104a1051569
12221938baa8000
13aac0baa3cc33
144b24873ac848
1523a58965c990
hex11ab7a138800

19428185180160 has 384 divisors, whose sum is σ = 70231713552000. Its totient is φ = 5093034098688.

The previous prime is 19428185180119. The next prime is 19428185180233. The reversal of 19428185180160 is 6108158182491.

19428185180160 is a `hidden beast` number, since 1 + 9 + 42 + 81 + 8 + 518 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 19428185180097 and 19428185180106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15716814 + ... + 16907826.

It is an arithmetic number, because the mean of its divisors is an integer number (182895087375).

Almost surely, 219428185180160 is an apocalyptic number.

19428185180160 is a gapful number since it is divisible by the number (10) 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 19428185180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35115856776000).

19428185180160 is an abundant number, since it is smaller than the sum of its proper divisors (50803528371840).

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

19428185180160 is a wasteful number, since it uses less digits than its factorization.

19428185180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191108 (or 1191082 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 19428185180160 in words is "nineteen trillion, four hundred twenty-eight billion, one hundred eighty-five million, one hundred eighty thousand, one hundred sixty".