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51170000850 = 232521759113371
BaseRepresentation
bin101111101001111110…
…000011111111010010
311220002010101101001200
4233221332003333102
51314244010011400
635301314412030
73461016554643
oct575176037722
9156063341050
1051170000850
111a77914a001
129b00891016
134a9628c717
142695c916ca
1514e7456b00
hexbe9f83fd2

51170000850 has 144 divisors (see below), whose sum is σ = 148032087840. Its totient is φ = 12624883200.

The previous prime is 51170000831. The next prime is 51170000899. The reversal of 51170000850 is 5800007115.

51170000850 is a `hidden beast` number, since 511 + 70 + 0 + 0 + 0 + 85 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 394665 + ... + 508035.

It is an arithmetic number, because the mean of its divisors is an integer number (1028000610).

Almost surely, 251170000850 is an apocalyptic number.

51170000850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51170000850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74016043920).

51170000850 is an abundant number, since it is smaller than the sum of its proper divisors (96862086990).

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

51170000850 is a wasteful number, since it uses less digits than its factorization.

51170000850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113465 (or 113457 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 51170000850 its reverse (5800007115), we get a palindrome (56970007965).

The spelling of 51170000850 in words is "fifty-one billion, one hundred seventy million, eight hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 59 75 85 90 102 118 150 153 170 177 225 255 295 306 354 425 450 510 531 590 765 850 885 1003 1062 1275 1475 1530 1770 2006 2550 2655 2950 3009 3825 4425 5015 5310 6018 7650 8850 9027 10030 13275 15045 18054 25075 26550 30090 45135 50150 75225 90270 113371 150450 225675 226742 340113 451350 566855 680226 1020339 1133710 1700565 1927307 2040678 2834275 3401130 3854614 5101695 5668550 5781921 6688889 8502825 9636535 10203390 11563842 13377778 17005650 17345763 19273070 20066667 25508475 28909605 33444445 34691526 40133334 48182675 51016950 57819210 60200001 66888890 86728815 96365350 100333335 113711113 120400002 144548025 167222225 173457630 200666670 227422226 289096050 301000005 334444450 341133339 433644075 501666675 568555565 602000010 682266678 867288150 1003333350 1023400017 1137111130 1505000025 1705666695 2046800034 2842777825 3010000050 3411333390 5117000085 5685555650 8528333475 10234000170 17056666950 25585000425 51170000850