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145929258888 = 233731372293307
BaseRepresentation
bin1000011111101000001…
…1111100011110001000
3111221200001122102212020
42013322003330132020
54342330342241023
6151012230244440
713354156143240
oct2077203743610
9457601572766
10145929258888
11569852980a6
12243474b6720
13109b80bcaca
1470c4ca4b20
153be1533de3
hex21fa0fc788

145929258888 has 256 divisors, whose sum is σ = 444087091200. Its totient is φ = 39075333120.

The previous prime is 145929258869. The next prime is 145929258889. The reversal of 145929258888 is 888852929541.

145929258888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145929258889) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44125731 + ... + 44129037.

It is an arithmetic number, because the mean of its divisors is an integer number (1734715200).

Almost surely, 2145929258888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145929258888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222043545600).

145929258888 is an abundant number, since it is smaller than the sum of its proper divisors (298157832312).

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

145929258888 is a wasteful number, since it uses less digits than its factorization.

145929258888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3616 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 69.

The spelling of 145929258888 in words is "one hundred forty-five billion, nine hundred twenty-nine million, two hundred fifty-eight thousand, eight hundred eighty-eight".