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16440148476 = 2236103127431
BaseRepresentation
bin11110100111110100…
…01100000111111100
31120102202001002000000
433103322030013330
5232132134222401
611315201234300
71121254646013
oct172372140774
946382032000
1016440148476
116a77042974
123229932990
131720013b0b
14b1d5c7a7a
1566348a186
hex3d3e8c1fc

16440148476 has 168 divisors, whose sum is σ = 43999248384. Its totient is φ = 5371621920.

The previous prime is 16440148457. The next prime is 16440148507. The reversal of 16440148476 is 67484104461.

16440148476 is a `hidden beast` number, since 1 + 64 + 40 + 1 + 484 + 76 = 666.

It is a super-3 number, since 3×164401484763 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38143981 + ... + 38144411.

It is an arithmetic number, because the mean of its divisors is an integer number (261900288).

Almost surely, 216440148476 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 16440148476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999624192).

16440148476 is an abundant number, since it is smaller than the sum of its proper divisors (27559099908).

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

16440148476 is a wasteful number, since it uses less digits than its factorization.

16440148476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 16440148476 in words is "sixteen billion, four hundred forty million, one hundred forty-eight thousand, four hundred seventy-six".