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81408733520 = 2455338350131
BaseRepresentation
bin100101111010001010…
…1101011000101010000
321210010111220011002112
41023310111223011100
52313211113433040
6101222035404452
75611245550262
oct1136425530520
9253114804075
1081408733520
1131586120464
121393b753728
1378a4c5084a
143d23cc1b32
1521b6edb365
hex12f456b150

81408733520 has 80 divisors (see below), whose sum is σ = 193353910272. Its totient is φ = 31865034240.

The previous prime is 81408733507. The next prime is 81408733531. The reversal of 81408733520 is 2533780418.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 1598855 + ... + 1648985.

Almost surely, 281408733520 is an apocalyptic number.

81408733520 is a gapful number since it is divisible by the number (80) 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 81408733520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96676955136).

81408733520 is an abundant number, since it is smaller than the sum of its proper divisors (111945176752).

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

81408733520 is a wasteful number, since it uses less digits than its factorization.

81408733520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50580 (or 50574 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 81408733520 in words is "eighty-one billion, four hundred eight million, seven hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 383 424 530 766 848 1060 1532 1915 2120 3064 3830 4240 6128 7660 15320 20299 30640 40598 50131 81196 100262 101495 162392 200524 202990 250655 324784 401048 405980 501310 802096 811960 1002620 1623920 2005240 2656943 4010480 5313886 10627772 13284715 19200173 21255544 26569430 38400346 42511088 53138860 76800692 96000865 106277720 153601384 192001730 212555440 307202768 384003460 768006920 1017609169 1536013840 2035218338 4070436676 5088045845 8140873352 10176091690 16281746704 20352183380 40704366760 81408733520