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85501371240 = 23325823288583
BaseRepresentation
bin100111110100001000…
…1110110001101101000
322011200201220200121100
41033220101312031220
52400101322334430
6103140115041400
76114542443545
oct1175021661550
9264621820540
1085501371240
113329632778a
12146a22a0260
1380a7b0897c
1441d166bbcc
15235645e960
hex13e8476368

85501371240 has 96 divisors (see below), whose sum is σ = 278218062720. Its totient is φ = 22772582784.

The previous prime is 85501371199. The next prime is 85501371247. The reversal of 85501371240 is 4217310558.

85501371240 is a `hidden beast` number, since 8 + 550 + 13 + 71 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85501371195 and 85501371204.

It is not an unprimeable number, because it can be changed into a prime (85501371247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151989 + ... + 440571.

It is an arithmetic number, because the mean of its divisors is an integer number (2898104820).

Almost surely, 285501371240 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 85501371240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139109031360).

85501371240 is an abundant number, since it is smaller than the sum of its proper divisors (192716691480).

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

85501371240 is a wasteful number, since it uses less digits than its factorization.

85501371240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289423 (or 289416 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 85501371240 its reverse (4217310558), we get a palindrome (89718681798).

The spelling of 85501371240 in words is "eighty-five billion, five hundred one million, three hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 823 1646 2469 3292 4115 4938 6584 7407 8230 9876 12345 14814 16460 19752 24690 29628 32920 37035 49380 59256 74070 98760 148140 288583 296280 577166 865749 1154332 1442915 1731498 2308664 2597247 2885830 3462996 4328745 5194494 5771660 6925992 8657490 10388988 11543320 12986235 17314980 20777976 25972470 34629960 51944940 103889880 237503809 475007618 712511427 950015236 1187519045 1425022854 1900030472 2137534281 2375038090 2850045708 3562557135 4275068562 4750076180 5700091416 7125114270 8550137124 9500152360 10687671405 14250228540 17100274248 21375342810 28500457080 42750685620 85501371240