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152140686217 = 1323173505033
BaseRepresentation
bin1000110110110001001…
…0101010001110001001
3112112200221112122022021
42031230102222032021
54443041003424332
6153520434524441
713664121331642
oct2155422521611
9475627478267
10152140686217
11595824a6413
122559b736721
1311467c142b0
147513bcc6c9
153e569d1c97
hex236c4aa389

152140686217 has 8 divisors (see below), whose sum is σ = 163851210824. Its totient is φ = 140431218048.

The previous prime is 152140686157. The next prime is 152140686233. The reversal of 152140686217 is 712686041251.

It can be written as a sum of positive squares in 4 ways, for example, as 3265093881 + 148875592336 = 57141^2 + 385844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-152140686217 is a prime.

It is a super-3 number, since 3×1521406862173 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152140687217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48733 + ... + 553765.

It is an arithmetic number, because the mean of its divisors is an integer number (20481401353).

Almost surely, 2152140686217 is an apocalyptic number.

It is an amenable number.

152140686217 is a deficient number, since it is larger than the sum of its proper divisors (11710524607).

152140686217 is a wasteful number, since it uses less digits than its factorization.

152140686217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528219.

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 152140686217 in words is "one hundred fifty-two billion, one hundred forty million, six hundred eighty-six thousand, two hundred seventeen".

Divisors: 1 13 23173 301249 505033 6565429 11703129709 152140686217