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80695108224 = 273417457829
BaseRepresentation
bin100101100100111001…
…1011010001010000000
321201021210002020020000
41023021303122022000
52310230421430344
6101023144120000
75554462050123
oct1131163321200
9251253066200
1080695108224
113124a315195
1213780766000
1377c0150763
143c971dc3ba
152174526a69
hex12c9cda280

80695108224 has 160 divisors (see below), whose sum is σ = 254274203700. Its totient is φ = 25316057088.

The previous prime is 80695108213. The next prime is 80695108237. The reversal of 80695108224 is 42280159608.

It can be written as a sum of positive squares in 2 ways, for example, as 66254760000 + 14440348224 = 257400^2 + 120168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 80695108224.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52659 + ... + 405170.

Almost surely, 280695108224 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 80695108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127137101850).

80695108224 is an abundant number, since it is smaller than the sum of its proper divisors (173579095476).

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

80695108224 is a wasteful number, since it uses less digits than its factorization.

80695108224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457872 (or 457851 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 80695108224 in words is "eighty billion, six hundred ninety-five million, one hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 88128 176256 457829 915658 1373487 1831316 2746974 3662632 4120461 5493948 7325264 7783093 8240922 10987896 12361383 14650528 15566186 16481844 21975792 23349279 24722766 29301056 31132372 32963688 37084149 43951584 46698558 49445532 58602112 62264744 65927376 70047837 74168298 87903168 93397116 98891064 124529488 131854752 140095674 148336596 175806336 186794232 197782128 210143511 249058976 263709504 280191348 296673192 373588464 395564256 420287022 498117952 527419008 560382696 593346384 630430533 747176928 791128512 840574044 996235904 1120765392 1186692768 1260861066 1494353856 1582257024 1681148088 2241530784 2373385536 2521722132 2988707712 3362296176 4483061568 4746771072 5043444264 6724592352 8966123136 10086888528 13449184704 20173777056 26898369408 40347554112 80695108224