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80413079184 = 243478772
BaseRepresentation
bin100101011100011111…
…1100011011010010000
321200120010101200010000
41022320333203122100
52304141222013214
6100535151210000
75544465616044
oct1127077433220
9250503350100
1080413079184
11311150a5639
1213702216900
1377768a5679
143c6b986024
1521598b7809
hex12b8fe3690

80413079184 has 75 divisors (see below), whose sum is σ = 232768331257. Its totient is φ = 26800956864.

The previous prime is 80413079161. The next prime is 80413079191. The reversal of 80413079184 is 48197031408.

It is a happy number.

The square root of 80413079184 is 283572.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12254490000 + 68158589184 = 110700^2 + 261072^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 10204654 + ... + 10212530.

Almost surely, 280413079184 is an apocalyptic number.

80413079184 is the 283572-nd square number.

It is an amenable number.

80413079184 is an abundant number, since it is smaller than the sum of its proper divisors (152355252073).

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

80413079184 is an frugal number, since it uses more digits than its factorization.

80413079184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15774 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 80413079184 in words is "eighty billion, four hundred thirteen million, seventy-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7877 15754 23631 31508 47262 63016 70893 94524 126032 141786 189048 212679 283572 378096 425358 567144 638037 850716 1134288 1276074 1701432 2552148 3402864 5104296 10208592 62047129 124094258 186141387 248188516 372282774 496377032 558424161 744565548 992754064 1116848322 1489131096 1675272483 2233696644 2978262192 3350544966 4467393288 5025817449 6701089932 8934786576 10051634898 13402179864 20103269796 26804359728 40206539592 80413079184