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80318917548 = 223310313155117
BaseRepresentation
bin100101011001101100…
…0010110101110101100
321200022120012202122000
41022303120112232230
52303443120330143
6100521545052300
75542243351242
oct1126330265654
9250276182560
1080318917548
1131076a31601
1213696787090
13776022741c
143c5d274792
1521514b7bd3
hex12b3616bac

80318917548 has 96 divisors (see below), whose sum is σ = 211864773120. Its totient is φ = 26310173760.

The previous prime is 80318917543. The next prime is 80318917559. The reversal of 80318917548 is 84571981308.

80318917548 is a `hidden beast` number, since 8 + 0 + 3 + 1 + 8 + 91 + 7 + 548 = 666.

It is a super-2 number, since 2×803189175482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80318917494 and 80318917503.

It is not an unprimeable number, because it can be changed into a prime (80318917543) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1429686 + ... + 1484802.

It is an arithmetic number, because the mean of its divisors is an integer number (2206924720).

Almost surely, 280318917548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80318917548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105932386560).

80318917548 is an abundant number, since it is smaller than the sum of its proper divisors (131545855572).

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

80318917548 is a wasteful number, since it uses less digits than its factorization.

80318917548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55364 (or 55356 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 80318917548 in words is "eighty billion, three hundred eighteen million, nine hundred seventeen thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 131 206 262 309 393 412 524 618 786 927 1179 1236 1572 1854 2358 2781 3537 3708 4716 5562 7074 11124 13493 14148 26986 40479 53972 55117 80958 110234 121437 161916 165351 220468 242874 330702 364311 485748 496053 661404 728622 992106 1457244 1488159 1984212 2976318 5677051 5952636 7220327 11354102 14440654 17031153 21660981 22708204 28881308 34062306 43321962 51093459 64982943 68124612 86643924 102186918 129965886 153280377 194948829 204373836 259931772 306560754 389897658 613121508 743693681 779795316 1487387362 2231081043 2974774724 4462162086 6693243129 8924324172 13386486258 20079729387 26772972516 40159458774 80318917548