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80088008800 = 2552421237791
BaseRepresentation
bin100101010010110011…
…1100000100001100000
321122201110201101101011
41022211213200201200
52303010012240200
6100443015550304
75533440562012
oct1124547404140
9248643641334
1080088008800
1130a68658428
121363138b394
13772443a627
143c3a7281b2
15213b0a55ba
hex12a59e0860

80088008800 has 72 divisors (see below), whose sum is σ = 195980081472. Its totient is φ = 31958976000.

The previous prime is 80088008753. The next prime is 80088008807. The reversal of 80088008800 is 880088008.

It is a happy number.

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

80088008800 is a modest number, since divided by 88008800 gives 800 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80088008807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217905 + ... + 455695.

It is an arithmetic number, because the mean of its divisors is an integer number (2721945576).

Almost surely, 280088008800 is an apocalyptic number.

80088008800 is a gapful number since it is divisible by the number (80) 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 80088008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97990040736).

80088008800 is an abundant number, since it is smaller than the sum of its proper divisors (115892072672).

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

80088008800 is a wasteful number, since it uses less digits than its factorization.

80088008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238232 (or 238219 counting only the distinct ones).

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

The spelling of 80088008800 in words is "eighty billion, eighty-eight million, eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 421 800 842 1684 2105 3368 4210 6736 8420 10525 13472 16840 21050 33680 42100 67360 84200 168400 237791 336800 475582 951164 1188955 1902328 2377910 3804656 4755820 5944775 7609312 9511640 11889550 19023280 23779100 38046560 47558200 95116400 100110011 190232800 200220022 400440044 500550055 800880088 1001100110 1601760176 2002200220 2502750275 3203520352 4004400440 5005500550 8008800880 10011001100 16017601760 20022002200 40044004400 80088008800