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153512322509 = 7213240992657
BaseRepresentation
bin1000111011111000001…
…1000010010111001101
3112200020112111222120102
42032332003002113031
510003343123310014
6154304513500445
714043115132400
oct2167603022715
9480215458512
10153512322509
115a116782027
1225902b71725
13116261417c0
147604039d37
153ed71228de
hex23be0c25cd

153512322509 has 12 divisors (see below), whose sum is σ = 192312141084. Its totient is φ = 121460298624.

The previous prime is 153512322497. The next prime is 153512322517. The reversal of 153512322509 is 905223215351.

It is a happy number.

153512322509 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 2 ways, for example, as 57913866409 + 95598456100 = 240653^2 + 309190^2 .

It is not a de Polignac number, because 153512322509 - 212 = 153512318413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153512322529) 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 11 ways as a sum of consecutive naturals, for example, 120495692 + ... + 120496965.

It is an arithmetic number, because the mean of its divisors is an integer number (16026011757).

Almost surely, 2153512322509 is an apocalyptic number.

It is an amenable number.

153512322509 is a deficient number, since it is larger than the sum of its proper divisors (38799818575).

153512322509 is a wasteful number, since it uses less digits than its factorization.

153512322509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240992684 (or 240992677 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The spelling of 153512322509 in words is "one hundred fifty-three billion, five hundred twelve million, three hundred twenty-two thousand, five hundred nine".

Divisors: 1 7 13 49 91 637 240992657 1686948599 3132904541 11808640193 21930331787 153512322509