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145939069080 = 233257239293827
BaseRepresentation
bin1000011111101010100…
…1010111100010011000
3111221200202002211220200
42013322221113202120
54342340400202310
6151013220422200
713354335422340
oct2077251274230
9457622084820
10145939069080
115698a8886a2
122434a847960
13109ba14615c
1470c62d9d20
153be23209c0
hex21faa57898

145939069080 has 384 divisors, whose sum is σ = 546845644800. Its totient is φ = 33064528896.

The previous prime is 145939069079. The next prime is 145939069121. The reversal of 145939069080 is 80960939541.

145939069080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 176467627 + ... + 176468453.

It is an arithmetic number, because the mean of its divisors is an integer number (1424077200).

Almost surely, 2145939069080 is an apocalyptic number.

145939069080 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 145939069080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273422822400).

145939069080 is an abundant number, since it is smaller than the sum of its proper divisors (400906575720).

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

145939069080 is a wasteful number, since it uses less digits than its factorization.

145939069080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 145939069080 in words is "one hundred forty-five billion, nine hundred thirty-nine million, sixty-nine thousand, eighty".