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85015338240 = 283573162773
BaseRepresentation
bin100111100101101001…
…1110001110100000000
322010102212100122200010
41033023103301310000
52343102411310430
6103015553424520
76066521310660
oct1171323616400
9263385318603
1085015338240
1133066a3aa18
121458756b140
13802b203c91
144186cb01a0
152328954cb0
hex13cb4f1d00

85015338240 has 144 divisors (see below), whose sum is σ = 310306082688. Its totient is φ = 19432071168.

The previous prime is 85015338211. The next prime is 85015338251. The reversal of 85015338240 is 4283351058.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1554507 + ... + 1608266.

It is an arithmetic number, because the mean of its divisors is an integer number (2154903352).

Almost surely, 285015338240 is an apocalyptic number.

85015338240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85015338240 is an abundant number, since it is smaller than the sum of its proper divisors (225290744448).

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

85015338240 is a wasteful number, since it uses less digits than its factorization.

85015338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162804 (or 3162790 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 85015338240 its reverse (4283351058), we get a palindrome (89298689298).

The spelling of 85015338240 in words is "eighty-five billion, fifteen million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 3162773 6325546 9488319 12651092 15813865 18976638 22139411 25302184 31627730 37953276 44278822 47441595 50604368 63255460 66418233 75906552 88557644 94883190 101208736 110697055 126510920 132836466 151813104 177115288 189766380 202417472 221394110 253021840 265672932 303626208 332091165 354230576 379532760 404834944 442788220 506043680 531345864 607252416 664182330 708461152 759065520 809669888 885576440 1012087360 1062691728 1214504832 1328364660 1416922304 1518131040 1771152880 2024174720 2125383456 2429009664 2656729320 2833844608 3036262080 3542305760 4048349440 4250766912 5313458640 5667689216 6072524160 7084611520 8501533824 10626917280 12145048320 14169223040 17003067648 21253834560 28338446080 42507669120 85015338240