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80726763264 = 283716789917
BaseRepresentation
bin100101100101110110…
…0001010011100000000
321201100222122110202220
41023023230022130000
52310312022411024
6101030234411040
75555325110640
oct1131354123400
9251328573686
1080726763264
1131266176084
121378b290a80
1377c6884b54
143c9b4bc520
1521771cae79
hex12cbb0a700

80726763264 has 144 divisors (see below), whose sum is σ = 247016974848. Its totient is φ = 22926422016.

The previous prime is 80726763253. The next prime is 80726763283. The reversal of 80726763264 is 46236762708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852834 + ... + 942750.

Almost surely, 280726763264 is an apocalyptic number.

80726763264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80726763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123508487424).

80726763264 is an abundant number, since it is smaller than the sum of its proper divisors (166290211584).

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

80726763264 is a wasteful number, since it uses less digits than its factorization.

80726763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90110 (or 90096 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 80726763264 in words is "eighty billion, seven hundred twenty-six million, seven hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 167 168 192 224 256 334 336 384 448 501 668 672 768 896 1002 1169 1336 1344 1792 2004 2338 2672 2688 3507 4008 4676 5344 5376 7014 8016 9352 10688 14028 16032 18704 21376 28056 32064 37408 42752 56112 64128 74816 89917 112224 128256 149632 179834 224448 269751 299264 359668 448896 539502 629419 719336 897792 1079004 1258838 1438672 1888257 2158008 2517676 2877344 3776514 4316016 5035352 5754688 7553028 8632032 10070704 11509376 15016139 15106056 17264064 20141408 23018752 30032278 30212112 34528128 40282816 45048417 60064556 60424224 69056256 80565632 90096834 105112973 120129112 120848448 161131264 180193668 210225946 240258224 241696896 315338919 360387336 420451892 480516448 483393792 630677838 720774672 840903784 961032896 1261355676 1441549344 1681807568 1922065792 2522711352 2883098688 3363615136 3844131584 5045422704 5766197376 6727230272 10090845408 11532394752 13454460544 20181690816 26908921088 40363381632 80726763264