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55000506100 = 22528316194093
BaseRepresentation
bin110011001110010010…
…010001111011110100
312020222002011012102111
4303032102101323310
51400120112143400
641133351420404
73654651405511
oct631622217364
9166862135374
1055000506100
1121364396321
12a7ab684704
135256a47a87
14293a8c4308
15166d89b3ba
hexcce491ef4

55000506100 has 72 divisors (see below), whose sum is σ = 120893199840. Its totient is φ = 21716407680.

The previous prime is 55000506097. The next prime is 55000506107. The reversal of 55000506100 is 160500055.

It is a super-2 number, since 2×550005061002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55000506107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13435654 + ... + 13439746.

It is an arithmetic number, because the mean of its divisors is an integer number (1679072220).

Almost surely, 255000506100 is an apocalyptic number.

55000506100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55000506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60446599920).

55000506100 is an abundant number, since it is smaller than the sum of its proper divisors (65892693740).

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

55000506100 is a wasteful number, since it uses less digits than its factorization.

55000506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 55000506100 in words is "fifty-five billion, five hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1619 1660 2075 3238 4093 4150 6476 8095 8186 8300 16190 16372 20465 32380 40475 40930 80950 81860 102325 134377 161900 204650 268754 339719 409300 537508 671885 679438 1343770 1358876 1698595 2687540 3359425 3397190 6626567 6718850 6794380 8492975 13253134 13437700 16985950 26506268 33132835 33971900 66265670 132531340 165664175 331328350 550005061 662656700 1100010122 2200020244 2750025305 5500050610 11000101220 13750126525 27500253050 55000506100