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55146100600 = 23521314334861
BaseRepresentation
bin110011010110111101…
…101011011101111000
312021100020010011112101
4303112331223131320
51400414400204400
641200032153144
73661400056333
oct632675533570
9167306104471
1055146100600
1121429599658
12a8303987b4
13527ac63676
142951d8361a
15167b55a56a
hexcd6f6b778

55146100600 has 96 divisors (see below), whose sum is σ = 129518429040. Its totient is φ = 21835008000.

The previous prime is 55146100591. The next prime is 55146100721. The reversal of 55146100600 is 600164155.

It is a super-2 number, since 2×551461006002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11342170 + ... + 11347030.

Almost surely, 255146100600 is an apocalyptic number.

55146100600 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 55146100600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64759214520).

55146100600 is an abundant number, since it is smaller than the sum of its proper divisors (74372328440).

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

55146100600 is a wasteful number, since it uses less digits than its factorization.

55146100600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 55146100600 its reverse (600164155), we get a palindrome (55746264755).

The spelling of 55146100600 in words is "fifty-five billion, one hundred forty-six million, one hundred thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 433 524 655 866 1048 1310 1732 2165 2620 3275 3464 4330 4861 5240 6550 8660 9722 10825 13100 17320 19444 21650 24305 26200 38888 43300 48610 56723 86600 97220 113446 121525 194440 226892 243050 283615 453784 486100 567230 636791 972200 1134460 1273582 1418075 2104813 2268920 2547164 2836150 3183955 4209626 5094328 5672300 6367910 8419252 10524065 11344600 12735820 15919775 16838504 21048130 25471640 31839550 42096260 52620325 63679100 84192520 105240650 127358200 210481300 275730503 420962600 551461006 1102922012 1378652515 2205844024 2757305030 5514610060 6893262575 11029220120 13786525150 27573050300 55146100600