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145471168512 = 2133624359
BaseRepresentation
bin1000011101111011000…
…0011110000000000000
3111220111010200001000000
42013132300132000000
54340411104343022
6150454544000000
713336624346625
oct2073660360000
9456433601000
10145471168512
115676a75600a
122423a000000
131094421c807
1470800dc34c
153bb61e86ac
hex21dec1e000

145471168512 has 196 divisors, whose sum is σ = 436205238840. Its totient is φ = 48488398848.

The previous prime is 145471168489. The next prime is 145471168519. The reversal of 145471168512 is 215861174541.

It is a happy number.

145471168512 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 71 + 1 + 68 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145471168519) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5959789 + ... + 5984147.

Almost surely, 2145471168512 is an apocalyptic number.

145471168512 is a gapful number since it is divisible by the number (12) 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 145471168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218102619420).

145471168512 is an abundant number, since it is smaller than the sum of its proper divisors (290734070328).

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

145471168512 is an frugal number, since it uses more digits than its factorization.

145471168512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24403 (or 24364 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 145471168512 in words is "one hundred forty-five billion, four hundred seventy-one million, one hundred sixty-eight thousand, five hundred twelve".