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80295938496 = 2633271171467
BaseRepresentation
bin100101011001000000…
…0101100100111000000
321200020221222022022000
41022302000230213000
52303421230012441
6100515404344000
75541544134024
oct1126200544700
9250227868260
1080295938496
1131064a67054
121368ab45000
137758540057
143c5a1b2384
15214e4792b6
hex12b202c9c0

80295938496 has 112 divisors (see below), whose sum is σ = 236927623680. Its totient is φ = 26666392320.

The previous prime is 80295938467. The next prime is 80295938509. The reversal of 80295938496 is 69483959208.

80295938496 is a `hidden beast` number, since 80 + 2 + 95 + 9 + 384 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382555 + ... + 554021.

Almost surely, 280295938496 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 80295938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118463811840).

80295938496 is an abundant number, since it is smaller than the sum of its proper divisors (156631685184).

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

80295938496 is a wasteful number, since it uses less digits than its factorization.

80295938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171759 (or 171743 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 80295938496 in words is "eighty billion, two hundred ninety-five million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 271 288 432 542 576 813 864 1084 1626 1728 2168 2439 3252 4336 4878 6504 7317 8672 9756 13008 14634 17344 19512 26016 29268 39024 52032 58536 78048 117072 156096 171467 234144 342934 468288 514401 685868 1028802 1371736 1543203 2057604 2743472 3086406 4115208 4629609 5486944 6172812 8230416 9259218 10973888 12345624 16460832 18518436 24691248 32921664 37036872 46467557 49382496 74073744 92935114 98764992 139402671 148147488 185870228 278805342 296294976 371740456 418208013 557610684 743480912 836416026 1115221368 1254624039 1486961824 1672832052 2230442736 2509248078 2973923648 3345664104 4460885472 5018496156 6691328208 8921770944 10036992312 13382656416 20073984624 26765312832 40147969248 80295938496