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80148952656 = 2433238397187
BaseRepresentation
bin100101010100100111…
…1111111011001010000
321122212201101122122000
41022221033333121100
52303121112441111
6100453034114000
75535110566623
oct1125117773120
9248781348560
1080148952656
1130a99aa3453
121364987b900
137733c58096
143c4486ddba
1521415e2c56
hex12a93ff650

80148952656 has 160 divisors (see below), whose sum is σ = 242954449920. Its totient is φ = 25246590336.

The previous prime is 80148952643. The next prime is 80148952661. The reversal of 80148952656 is 65625984108.

It is a super-3 number, since 3×801489526563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776095 + ... + 873281.

It is an arithmetic number, because the mean of its divisors is an integer number (1518465312).

Almost surely, 280148952656 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 80148952656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121477224960).

80148952656 is an abundant number, since it is smaller than the sum of its proper divisors (162805497264).

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

80148952656 is a wasteful number, since it uses less digits than its factorization.

80148952656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97310 (or 97298 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 80148952656 in words is "eighty billion, one hundred forty-eight million, nine hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 83 92 108 138 144 166 184 207 216 249 276 332 368 414 432 498 552 621 664 747 828 996 1104 1242 1328 1494 1656 1909 1992 2241 2484 2988 3312 3818 3984 4482 4968 5727 5976 7636 8964 9936 11454 11952 15272 17181 17928 22908 30544 34362 35856 45816 51543 68724 91632 97187 103086 137448 194374 206172 274896 291561 388748 412344 583122 777496 824688 874683 1166244 1554992 1749366 2235301 2332488 2624049 3498732 4470602 4664976 5248098 6705903 6997464 8066521 8941204 10496196 13411806 13994928 16133042 17882408 20117709 20992392 24199563 26823612 32266084 35764816 40235418 41984784 48399126 53647224 60353127 64532168 72598689 80470836 96798252 107294448 120706254 129064336 145197378 160941672 185529983 193596504 217796067 241412508 290394756 321883344 371059966 387193008 435592134 482825016 556589949 580789512 742119932 871184268 965650032 1113179898 1161579024 1484239864 1669769847 1742368536 2226359796 2968479728 3339539694 3484737072 4452719592 5009309541 6679079388 8905439184 10018619082 13358158776 20037238164 26716317552 40074476328 80148952656