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145346060160 = 273257192373113
BaseRepresentation
bin1000011101011101001…
…1001101111110000000
3111220011102020212121100
42013113103031332000
54340132042411120
6150434314254400
713333545061350
oct2072723157600
9456142225540
10145346060160
1156706075284
1224204127400
13109243276c2
14706b652b60
153baa234490
hex21d74cdf80

145346060160 has 1536 divisors, whose sum is σ = 644321433600. Its totient is φ = 29429858304.

The previous prime is 145346060159. The next prime is 145346060173. The reversal of 145346060160 is 61060643541.

It is a happy number.

145346060160 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 46 + 0 + 601 + 6 + 0 = 666.

145346060160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453460601602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1286248264 + ... + 1286248376.

It is an arithmetic number, because the mean of its divisors is an integer number (419480100).

Almost surely, 2145346060160 is an apocalyptic number.

145346060160 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 145346060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322160716800).

145346060160 is an abundant number, since it is smaller than the sum of its proper divisors (498975373440).

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

145346060160 is a wasteful number, since it uses less digits than its factorization.

145346060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 145346060160 in words is "one hundred forty-five billion, three hundred forty-six million, sixty thousand, one hundred sixty".