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80455127840 = 2555329332381
BaseRepresentation
bin100101011101101111…
…1111101001100100000
321200200001111222000122
41022323133331030200
52304233003042330
6100543252335412
75545516205633
oct1127337751440
9250601458018
1080455127840
113113690539a
1213714314568
137782508829
143c733adc1a
15215d4215e5
hex12bb7fd320

80455127840 has 96 divisors (see below), whose sum is σ = 194328526896. Its totient is φ = 31466106880.

The previous prime is 80455127833. The next prime is 80455127869. The reversal of 80455127840 is 4872155408.

It can be written as a sum of positive squares in 8 ways, for example, as 67806076816 + 12649051024 = 260396^2 + 112468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80455127791 and 80455127800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2468450 + ... + 2500830.

Almost surely, 280455127840 is an apocalyptic number.

80455127840 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 80455127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97164263448).

80455127840 is an abundant number, since it is smaller than the sum of its proper divisors (113873399056).

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

80455127840 is a wasteful number, since it uses less digits than its factorization.

80455127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32742 (or 32734 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 44.

The spelling of 80455127840 in words is "eighty billion, four hundred fifty-five million, one hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 293 424 530 586 848 1060 1172 1465 1696 2120 2344 2930 4240 4688 5860 8480 9376 11720 15529 23440 31058 32381 46880 62116 64762 77645 124232 129524 155290 161905 248464 259048 310580 323810 496928 518096 621160 647620 1036192 1242320 1295240 1716193 2484640 2590480 3432386 5180960 6864772 8580965 9487633 13729544 17161930 18975266 27459088 34323860 37950532 47438165 54918176 68647720 75901064 94876330 137295440 151802128 189752660 274590880 303604256 379505320 502844549 759010640 1005689098 1518021280 2011378196 2514222745 4022756392 5028445490 8045512784 10056890980 16091025568 20113781960 40227563920 80455127840