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800088008800 = 25521952637369
BaseRepresentation
bin10111010010010001111…
…01100010100001100000
32211111011111202001100211
423221020331202201200
5101102040012240200
61411315542423504
7111542632602313
oct13511075424140
92744144661324
10800088008800
11289351906043
1210b08ba31b94
135a5a92821a2
142aa1dd1497a
1515c2adc8aba
hexba48f62860

800088008800 has 72 divisors (see below), whose sum is σ = 2056015672200. Its totient is φ = 303191239680.

The previous prime is 800088008779. The next prime is 800088008801. The reversal of 800088008800 is 8800880008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

800088008800 is a modest number, since divided by 88008800 gives 8000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800088008801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26303485 + ... + 26333884.

It is an arithmetic number, because the mean of its divisors is an integer number (28555773225).

Almost surely, 2800088008800 is an apocalyptic number.

800088008800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800088008800 is an abundant number, since it is smaller than the sum of its proper divisors (1255927663400).

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

800088008800 is a wasteful number, since it uses less digits than its factorization.

800088008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52637408 (or 52637395 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

Adding to 800088008800 its reverse (8800880008), we get a palindrome (808888888808).

It can be divided in two parts, 80008 and 8008800, that added together give a palindrome (8088808).

The spelling of 800088008800 in words is "eight hundred billion, eighty-eight million, eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 52637369 105274738 210549476 263186845 421098952 526373690 842197904 1000110011 1052747380 1315934225 1684395808 2000220022 2105494760 2631868450 4000440044 4210989520 5000550055 5263736900 8000880088 8421979040 10001100110 10527473800 16001760176 20002200220 21054947600 25002750275 32003520352 40004400440 42109895200 50005500550 80008800880 100011001100 160017601760 200022002200 400044004400 800088008800