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80411411408 = 24171312778147
BaseRepresentation
bin100101011100011100…
…1001100001111010000
321200120000020221100112
41022320321030033100
52304140310131113
6100535051340452
75544445501526
oct1127071141720
9250500227315
1080411411408
1131114166609
1213701751728
137776440513
143c6b670316
1521596885a8
hex12b8e4c3d0

80411411408 has 80 divisors (see below), whose sum is σ = 166841446464. Its totient is φ = 37411645440.

The previous prime is 80411411401. The next prime is 80411411411.

80411411408 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80411411401) 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 15 ways as a sum of consecutive naturals, for example, 9865991 + ... + 9874137.

Almost surely, 280411411408 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 80411411408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83420723232).

80411411408 is an abundant number, since it is smaller than the sum of its proper divisors (86430035056).

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

80411411408 is a wasteful number, since it uses less digits than its factorization.

80411411408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 80411411408 in words is "eighty billion, four hundred eleven million, four hundred eleven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 68 131 136 262 272 277 524 554 1048 1108 2096 2216 2227 4432 4454 4709 8147 8908 9418 16294 17816 18836 32588 35632 36287 37672 65176 72574 75344 130352 138499 145148 276998 290296 553996 580592 616879 1067257 1107992 1233758 2134514 2215984 2256719 2467516 4269028 4513438 4935032 8538056 9026876 9870064 17076112 18053752 18143369 36107504 36286738 38364223 72573476 76728446 145146952 153456892 290293904 295630189 306913784 591260378 613827568 1182520756 2365041512 4730083024 5025713213 10051426426 20102852852 40205705704 80411411408