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85175070576 = 2435935983777
BaseRepresentation
bin100111101010011010…
…1000110111101110000
322010211222220220020120
41033110311012331300
52343414304224301
6103043501210240
76103501103631
oct1172465067560
9263758826216
1085175070576
113313911a212
1214610b60980
13805532c95b
1441a01ad888
1523379a7e36
hex13d4d46f70

85175070576 has 80 divisors (see below), whose sum is σ = 224390995200. Its totient is φ = 27832397824.

The previous prime is 85175070553. The next prime is 85175070583. The reversal of 85175070576 is 67507057158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974800 + ... + 1058576.

It is an arithmetic number, because the mean of its divisors is an integer number (2804887440).

Almost surely, 285175070576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85175070576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112195497600).

85175070576 is an abundant number, since it is smaller than the sum of its proper divisors (139215924624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85175070576 is a wasteful number, since it uses less digits than its factorization.

85175070576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84206 (or 84200 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 51.

The spelling of 85175070576 in words is "eighty-five billion, one hundred seventy-five million, seventy thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 359 472 708 718 944 1077 1416 1436 2154 2832 2872 4308 5744 8616 17232 21181 42362 63543 83777 84724 127086 167554 169448 251331 254172 335108 338896 502662 508344 670216 1005324 1016688 1340432 2010648 4021296 4942843 9885686 14828529 19771372 29657058 30075943 39542744 59314116 60151886 79085488 90227829 118628232 120303772 180455658 237256464 240607544 360911316 481215088 721822632 1443645264 1774480637 3548961274 5323441911 7097922548 10646883822 14195845096 21293767644 28391690192 42587535288 85175070576