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55000340032 = 26111374191361
BaseRepresentation
bin110011001110010001…
…101001011001000000
312020222001211202121211
4303032101221121000
51400120041340112
641133344055504
73654650114401
oct631621513100
9166861752554
1055000340032
1121364292580
12a7ab604594
1352569ba301
14293a87d9a8
15166d8670a7
hexcce469640

55000340032 has 112 divisors (see below), whose sum is σ = 120306876480. Its totient is φ = 24740249600.

The previous prime is 55000340029. The next prime is 55000340077. The reversal of 55000340032 is 23004300055.

It is a super-2 number, since 2×550003400322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 55000339985 and 55000340012.

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, 40411032 + ... + 40412392.

It is an arithmetic number, because the mean of its divisors is an integer number (1074168540).

Almost surely, 255000340032 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 55000340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60153438240).

55000340032 is an abundant number, since it is smaller than the sum of its proper divisors (65306536448).

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

55000340032 is a wasteful number, since it uses less digits than its factorization.

55000340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

Adding to 55000340032 its reverse (23004300055), we get a palindrome (78004640087).

The spelling of 55000340032 in words is "fifty-five billion, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 137 176 274 352 419 548 704 838 1096 1361 1507 1676 2192 2722 3014 3352 4384 4609 5444 6028 6704 8768 9218 10888 12056 13408 14971 18436 21776 24112 26816 29942 36872 43552 48224 57403 59884 73744 87104 96448 114806 119768 147488 186457 229612 239536 294976 372914 459224 479072 570259 631433 745828 918448 958144 1140518 1262866 1491656 1836896 2051027 2281036 2525732 2983312 3673792 4102054 4562072 5051464 5966624 6272849 8204108 9124144 10102928 11933248 12545698 16408216 18248288 20205856 25091396 32816432 36496576 40411712 50182792 65632864 78125483 100365584 131265728 156250966 200731168 312501932 401462336 625003864 859380313 1250007728 1718760626 2500015456 3437521252 5000030912 6875042504 13750085008 27500170016 55000340032