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528157106319 = 32937164074901
BaseRepresentation
bin1111010111110001001…
…11011110000010001111
31212111021011202220202010
413223320213132002033
532123131204400234
61042344303432303
753105140221333
oct7537047360217
91774234686663
10528157106319
11193a98a101a7
128643a8b5693
133aa6078512b
141b7c49cb7c3
15db12a7e6e9
hex7af89de08f

528157106319 has 16 divisors (see below), whose sum is σ = 748181553120. Its totient is φ = 330774998400.

The previous prime is 528157106263. The next prime is 528157106353. The reversal of 528157106319 is 913601751825.

It is not a de Polignac number, because 528157106319 - 213 = 528157098127 is a prime.

It is a super-2 number, since 2×5281571063192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528157107319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82034232 + ... + 82040669.

It is an arithmetic number, because the mean of its divisors is an integer number (46761347070).

Almost surely, 2528157106319 is an apocalyptic number.

528157106319 is a deficient number, since it is larger than the sum of its proper divisors (220024446801).

528157106319 is a wasteful number, since it uses less digits than its factorization.

528157106319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164074970.

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 528157106319 in words is "five hundred twenty-eight billion, one hundred fifty-seven million, one hundred six thousand, three hundred nineteen".

Divisors: 1 3 29 37 87 111 1073 3219 164074901 492224703 4758172129 6070771337 14274516387 18212314011 176052368773 528157106319