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80274755584 = 2121922332
BaseRepresentation
bin100101011000010111…
…1111001000000000000
321200012111010002210201
41022300233321000000
52303400314134314
6100513330334544
75541166110202
oct1126057710000
9250174102721
1080274755584
1131054009011
1213683a2a454
13775403439a
143c5745a772
15214c692b74
hex12b0bf9000

80274755584 has 117 divisors (see below), whose sum is σ = 170153797233. Its totient is φ = 37861687296.

The previous prime is 80274755573. The next prime is 80274755591. The reversal of 80274755584 is 48555747208.

The square root of 80274755584 is 283328.

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., 16302182400 + 63972573184 = 127680^2 + 252928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 344526732 + ... + 344526964.

Almost surely, 280274755584 is an apocalyptic number.

80274755584 is the 283328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80274755584

80274755584 is an abundant number, since it is smaller than the sum of its proper divisors (89879041649).

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

80274755584 is an frugal number, since it uses more digits than its factorization.

80274755584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 55.

The spelling of 80274755584 in words is "eighty billion, two hundred seventy-four million, seven hundred fifty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 233 256 304 361 466 512 608 722 932 1024 1216 1444 1864 2048 2432 2888 3728 4096 4427 4864 5776 7456 8854 9728 11552 14912 17708 19456 23104 29824 35416 38912 46208 54289 59648 70832 77824 84113 92416 108578 119296 141664 168226 184832 217156 238592 283328 336452 369664 434312 477184 566656 672904 739328 868624 954368 1031491 1133312 1345808 1478656 1737248 2062982 2266624 2691616 3474496 4125964 4533248 5383232 6948992 8251928 9066496 10766464 13897984 16503856 18132992 19598329 21532928 27795968 33007712 39196658 43065856 55591936 66015424 78393316 86131712 111183872 132030848 156786632 172263424 222367744 264061696 313573264 344526848 528123392 627146528 1056246784 1254293056 2112493568 2508586112 4224987136 5017172224 10034344448 20068688896 40137377792 80274755584