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145450233513 = 32131773127317
BaseRepresentation
bin1000011101110110000…
…0100110111010101001
3111220102200021102120200
42013131200212322221
54340340224433023
6150452515142413
713336251404634
oct2073540467251
9456380242520
10145450233513
1156759957262
1224232ba4a09
131093ca9c940
14707b40cc1b
153bb4460743
hex21dd826ea9

145450233513 has 24 divisors (see below), whose sum is σ = 239565093768. Its totient is φ = 84242668032.

The previous prime is 145450233473. The next prime is 145450233517. The reversal of 145450233513 is 315332054541.

145450233513 is a `hidden beast` number, since 14 + 54 + 50 + 2 + 33 + 513 = 666.

145450233513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22162872384 + 123287361129 = 148872^2 + 351123^2 .

It is not a de Polignac number, because 145450233513 - 225 = 145416679081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145450233517) 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 23 ways as a sum of consecutive naturals, for example, 36561670 + ... + 36565647.

It is an arithmetic number, because the mean of its divisors is an integer number (9981878907).

Almost surely, 2145450233513 is an apocalyptic number.

145450233513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

145450233513 is a deficient number, since it is larger than the sum of its proper divisors (94114860255).

145450233513 is a wasteful number, since it uses less digits than its factorization.

145450233513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73127353 (or 73127350 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 145450233513 in words is "one hundred forty-five billion, four hundred fifty million, two hundred thirty-three thousand, five hundred thirteen".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 73127317 219381951 658145853 950655121 1243164389 2851965363 3729493167 8555896089 11188479501 16161137057 48483411171 145450233513