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80444381250 = 235510973911
BaseRepresentation
bin100101011101011011…
…0111101100001000010
321200122022021222110210
41022322312331201002
52304222230200000
6100542230134550
75545325646522
oct1127266754102
9250568258423
1080444381250
1131130835312
12137107b1456
1377802151bc
143c71bb3682
15215c4ec350
hex12badbd842

80444381250 has 96 divisors (see below), whose sum is σ = 201332863872. Its totient is φ = 21426800000.

The previous prime is 80444381243. The next prime is 80444381287. The reversal of 80444381250 is 5218344408.

It is a junction number, because it is equal to n+sod(n) for n = 80444381199 and 80444381208.

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 47 ways as a sum of consecutive naturals, for example, 20566795 + ... + 20570705.

It is an arithmetic number, because the mean of its divisors is an integer number (2097217332).

Almost surely, 280444381250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80444381250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100666431936).

80444381250 is an abundant number, since it is smaller than the sum of its proper divisors (120888482622).

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

80444381250 is a wasteful number, since it uses less digits than its factorization.

80444381250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 80444381250 in words is "eighty billion, four hundred forty-four million, three hundred eighty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 625 750 1097 1250 1875 2194 3125 3291 3750 3911 5485 6250 6582 7822 9375 10970 11733 16455 18750 19555 23466 27425 32910 39110 54850 58665 82275 97775 117330 137125 164550 195550 274250 293325 411375 488875 586650 685625 822750 977750 1371250 1466625 2056875 2444375 2933250 3428125 4113750 4290367 4888750 6856250 7333125 8580734 10284375 12221875 12871101 14666250 20568750 21451835 24443750 25742202 36665625 42903670 64355505 73331250 107259175 128711010 214518350 321777525 536295875 643555050 1072591750 1608887625 2681479375 3217775250 5362958750 8044438125 13407396875 16088876250 26814793750 40222190625 80444381250