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55173312100 = 22528322832
BaseRepresentation
bin110011011000100101…
…011110111001100100
312021102010022122200201
4303120211132321210
51400443331441400
641202443320244
73662150262214
oct633045367144
9167363278621
1055173312100
1121442994aa5
12a839520084
1352837a034a
142955828244
15167db3306a
hexcd895ee64

55173312100 has 81 divisors (see below), whose sum is σ = 121615681593. Its totient is φ = 21726385440.

The previous prime is 55173312053. The next prime is 55173312109. The reversal of 55173312100 is 121337155.

The square root of 55173312100 is 234890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19862392356 + 35310919744 = 140934^2 + 187912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55173312109) 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 26 ways as a sum of consecutive naturals, for example, 194958559 + ... + 194958841.

Almost surely, 255173312100 is an apocalyptic number.

55173312100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55173312100 is the 234890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55173312100

55173312100 is an abundant number, since it is smaller than the sum of its proper divisors (66442369493).

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

55173312100 is an equidigital number, since it uses as much as digits as its factorization.

55173312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

Adding to 55173312100 its reverse (121337155), we get a palindrome (55294649255).

The spelling of 55173312100 in words is "fifty-five billion, one hundred seventy-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 283 332 415 566 830 1132 1415 1660 2075 2830 4150 5660 6889 7075 8300 13778 14150 23489 27556 28300 34445 46978 68890 80089 93956 117445 137780 160178 172225 234890 320356 344450 400445 469780 587225 688900 800890 1174450 1601780 1949587 2002225 2348900 3899174 4004450 6647387 7798348 8008900 9747935 13294774 19495870 26589548 33236935 38991740 48739675 66473870 97479350 132947740 166184675 194958700 332369350 551733121 664738700 1103466242 2206932484 2758665605 5517331210 11034662420 13793328025 27586656050 55173312100