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828336472075 = 527191093117349
BaseRepresentation
bin11000000110111001011…
…00111000000000001011
32221012002012012200001101
430003130230320000023
5102032413114101300
61432311005202231
7113562643561150
oct14033454700013
92835065180041
10828336472075
1129a328386662
12114654260377
136015b7c5008
142c13d8a0227
1516830d6db6a
hexc0dcb3800b

828336472075 has 96 divisors (see below), whose sum is σ = 1251169920000. Its totient is φ = 531383846400.

The previous prime is 828336472069. The next prime is 828336472087. The reversal of 828336472075 is 570274633828.

It is a happy number.

It is not a de Polignac number, because 828336472075 - 25 = 828336472043 is a prime.

It is a super-2 number, since 2×8283364720752 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112710501 + ... + 112717849.

It is an arithmetic number, because the mean of its divisors is an integer number (13033020000).

Almost surely, 2828336472075 is an apocalyptic number.

828336472075 is a deficient number, since it is larger than the sum of its proper divisors (422833447925).

828336472075 is a wasteful number, since it uses less digits than its factorization.

828336472075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 828336472075 in words is "eight hundred twenty-eight billion, three hundred thirty-six million, four hundred seventy-two thousand, seventy-five".

Divisors: 1 5 7 19 25 35 95 109 133 175 311 475 545 665 763 1555 2071 2177 2725 3325 3815 5909 7349 7775 10355 10885 14497 19075 29545 33899 36745 41363 51443 51775 54425 72485 139631 147725 169495 183725 206815 237293 257215 362425 644081 698155 801041 847475 977417 1034075 1186465 1286075 2285539 3220405 3490775 4005205 4508567 4887085 5607287 5932325 11427695 15219779 15998773 16102025 20026025 22542835 24435425 28036435 43425241 57138475 76098895 79993865 106538453 112714175 140182175 217126205 249123751 303976687 380494475 399969325 532692265 1085631025 1245618755 1519883435 1743866257 2663461325 4733351269 6228093775 7599417175 8719331285 23666756345 33133458883 43596656425 118333781725 165667294415 828336472075