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16074081408 = 273711273677
BaseRepresentation
bin11101111100001011…
…10000010010000000
31112111020012221101110
432332011300102000
5230404431101113
611215003203320
71106221303050
oct167605602200
945436187343
1016074081408
1168a9444300
123147216540
131692223698
14ac6b37560
1564127abc3
hex3be170480

16074081408 has 384 divisors, whose sum is σ = 54450668160. Its totient is φ = 4111810560.

The previous prime is 16074081407. The next prime is 16074081437. The reversal of 16074081408 is 80418047061.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×160740814082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16074081407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23742766 + ... + 23743442.

It is an arithmetic number, because the mean of its divisors is an integer number (141798615).

Almost surely, 216074081408 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 16074081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27225334080).

16074081408 is an abundant number, since it is smaller than the sum of its proper divisors (38376586752).

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

16074081408 is a wasteful number, since it uses less digits than its factorization.

16074081408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 16074081408 in words is "sixteen billion, seventy-four million, eighty-one thousand, four hundred eight".