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88000880080 = 2452414619901
BaseRepresentation
bin101000111110101000…
…0101101110111010000
322102010221011220010211
41101331100231313100
52420211211130310
6104232124133504
76233513065411
oct1217520556720
9272127156124
1088000880080
1134359225773
121507b397294
1383b58c5699
14438b5d1808
152450adec8a
hex147d42ddd0

88000880080 has 80 divisors (see below), whose sum is σ = 205917476688. Its totient is φ = 34974720000.

The previous prime is 88000880063. The next prime is 88000880159. The reversal of 88000880080 is 8008800088.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5877368896 + 82123511184 = 76664^2 + 286572^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8883130 + ... + 8893030.

Almost surely, 288000880080 is an apocalyptic number.

88000880080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88000880080 is an abundant number, since it is smaller than the sum of its proper divisors (117916596608).

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

88000880080 is a wasteful number, since it uses less digits than its factorization.

88000880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 10610 counting only the distinct ones).

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

The spelling of 88000880080 in words is "eighty-eight billion, eight hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 461 482 922 964 1205 1844 1928 2305 2410 3688 3856 4610 4820 7376 9220 9640 9901 18440 19280 19802 36880 39604 49505 79208 99010 111101 158416 198020 222202 396040 444404 555505 792080 888808 1111010 1777616 2222020 2386141 4444040 4564361 4772282 8888080 9128722 9544564 11930705 18257444 19089128 22821805 23861410 36514888 38178256 45643610 47722820 73029776 91287220 95445640 182574440 190891280 365148880 1100011001 2200022002 4400044004 5500055005 8800088008 11000110010 17600176016 22000220020 44000440040 88000880080