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80321326828128 = 25321992363158923
BaseRepresentation
bin10010010000110101000100…
…001001110100101001100000
3101112101122101100222011122100
4102100311010021310221200
541011441034132000003
6442455035205410400
722630011233105331
oct2220650411645140
9345348340864570
1080321326828128
11236580a1027031
129012989a09a00
1335a8365207a49
1415b98042c4288
1594451e5a2ba3
hex490d44274a60

80321326828128 has 144 divisors (see below), whose sum is σ = 240439666783680. Its totient is φ = 25364195304192.

The previous prime is 80321326828123. The next prime is 80321326828151. The reversal of 80321326828128 is 82182862312308.

80321326828128 is a `hidden beast` number, since 8 + 0 + 32 + 1 + 326 + 8 + 281 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80321326828123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505330875 + ... + 505489797.

It is an arithmetic number, because the mean of its divisors is an integer number (1669719908220).

Almost surely, 280321326828128 is an apocalyptic number.

It is an amenable number.

80321326828128 is an abundant number, since it is smaller than the sum of its proper divisors (160118339955552).

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

80321326828128 is a wasteful number, since it uses less digits than its factorization.

80321326828128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251321 (or 251310 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 80321326828128 in words is "eighty trillion, three hundred twenty-one billion, three hundred twenty-six million, eight hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 92363 158923 184726 277089 317846 369452 476769 554178 635692 738904 831267 953538 1108356 1271384 1430307 1477808 1662534 1754897 1907076 2216712 2542768 2860614 2955616 3019537 3325068 3509794 3814152 4433424 5085536 5264691 5721228 6039074 6650136 7019588 7628304 8866848 9058611 10529382 11442456 12078148 13300272 14039176 15256608 15794073 18117222 21058764 22884912 24156296 26600544 27175833 28078352 31588146 36234444 42117528 45769824 48312592 54351666 56156704 63176292 72468888 84235056 96625184 108703332 126352584 144937776 168470112 217406664 252705168 289875552 434813328 505410336 869626656 14678605049 29357210098 44035815147 58714420196 88071630294 117428840392 132107445441 176143260588 234857680784 264214890882 278893495931 352286521176 469715361568 528429781764 557786991862 704573042352 836680487793 1056859563528 1115573983724 1409146084704 1673360975586 2113719127056 2231147967448 2510041463379 3346721951172 4227438254112 4462295934896 5020082926758 6693443902344 8924591869792 10040165853516 13386887804688 20080331707032 26773775609376 40160663414064 80321326828128