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85314927360 = 2835131709033
BaseRepresentation
bin100111101110100101…
…0100111101100000000
322011012202002100200110
41033131022213230000
52344211110133420
6103105414551320
76110116626435
oct1173512475400
9264182070613
1085314927360
1133200063733
121464b968540
1380782b9a50
1441b49b7b8c
152344dd1ee0
hex13dd2a7b00

85314927360 has 144 divisors (see below), whose sum is σ = 293434301664. Its totient is φ = 21000585216.

The previous prime is 85314927323. The next prime is 85314927419. The reversal of 85314927360 is 6372941358.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 804597 + ... + 904436.

It is an arithmetic number, because the mean of its divisors is an integer number (2037738206).

It is a 1-persistent number, because it is pandigital, but 2⋅85314927360 = 170629854720 is not.

Almost surely, 285314927360 is an apocalyptic number.

85314927360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85314927360 is an abundant number, since it is smaller than the sum of its proper divisors (208119374304).

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

85314927360 is a wasteful number, since it uses less digits than its factorization.

85314927360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709070 (or 1709056 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 85314927360 in words is "eighty-five billion, three hundred fourteen million, nine hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 1709033 3418066 5127099 6836132 8545165 10254198 13672264 17090330 20508396 22217429 25635495 27344528 34180660 41016792 44434858 51270990 54689056 66652287 68361320 82033584 88869716 102541980 109378112 111087145 133304574 136722640 164067168 177739432 205083960 218756224 222174290 266609148 273445280 328134336 333261435 355478864 410167920 437512448 444348580 533218296 546890560 656268672 666522870 710957728 820335840 888697160 1066436592 1093781120 1312537344 1333045740 1421915456 1640671680 1777394320 2132873184 2187562240 2666091480 2843830912 3281343360 3554788640 4265746368 5332182960 5687661824 6562686720 7109577280 8531492736 10664365920 14219154560 17062985472 21328731840 28438309120 42657463680 85314927360