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80382975744 = 283414315923
BaseRepresentation
bin100101011011100110…
…0101101111100000000
321200111000202020221210
41022313030231330000
52304111020210434
6100532154050120
75543652006651
oct1126714557400
9250430666853
1080382975744
11310aa104465
12136b4119940
137770595596
143c6798b528
152156e1cee9
hex12b732df00

80382975744 has 144 divisors (see below), whose sum is σ = 219699454464. Its totient is φ = 26075750400.

The previous prime is 80382975731. The next prime is 80382975781. The reversal of 80382975744 is 44757928308.

It is a super-2 number, since 2×803829757442 (a number of 23 digits) contains 22 as substring.

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, 13568367 + ... + 13574289.

It is an arithmetic number, because the mean of its divisors is an integer number (1525690656).

Almost surely, 280382975744 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 80382975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109849727232).

80382975744 is an abundant number, since it is smaller than the sum of its proper divisors (139316478720).

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

80382975744 is a wasteful number, since it uses less digits than its factorization.

80382975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 80382975744 in words is "eighty billion, three hundred eighty-two million, nine hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 431 492 656 768 862 984 1293 1312 1724 1968 2586 2624 3448 3936 5172 5248 5923 6896 7872 10344 10496 11846 13792 15744 17671 17769 20688 23692 27584 31488 35342 35538 41376 47384 53013 55168 70684 71076 82752 94768 106026 110336 141368 142152 165504 189536 212052 242843 282736 284304 331008 379072 424104 485686 565472 568608 728529 758144 848208 971372 1130944 1137216 1457058 1516288 1696416 1942744 2261888 2274432 2552813 2914116 3392832 3885488 4523776 4548864 5105626 5828232 6785664 7658439 7770976 10211252 11656464 13571328 15316878 15541952 20422504 23312928 30633756 31083904 40845008 46625856 61267512 62167808 81690016 93251712 104665333 122535024 163380032 186503424 209330666 245070048 313995999 326760064 418661332 490140096 627991998 653520128 837322664 980280192 1255983996 1674645328 1960560384 2511967992 3349290656 5023935984 6698581312 10047871968 13397162624 20095743936 26794325248 40191487872 80382975744