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16376038272 = 273511232081
BaseRepresentation
bin11110100000001011…
…01000001110000000
31120021021101221100000
433100011220032000
5232014231211042
611304551200000
71116546012546
oct172005501600
946237357300
1016376038272
116a43934a30
123210376000
13170c958099
14b14c99d96
1565ca2474c
hex3d0168380

16376038272 has 384 divisors, whose sum is σ = 55656357120. Its totient is φ = 4744396800.

The previous prime is 16376038271. The next prime is 16376038279. The reversal of 16376038272 is 27283067361.

16376038272 is a `hidden beast` number, since 1 + 6 + 37 + 603 + 8 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16376038271) 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, 7868272 + ... + 7870352.

It is an arithmetic number, because the mean of its divisors is an integer number (144938430).

Almost surely, 216376038272 is an apocalyptic number.

16376038272 is a gapful number since it is divisible by the number (12) 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 16376038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27828178560).

16376038272 is an abundant number, since it is smaller than the sum of its proper divisors (39280318848).

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

16376038272 is a wasteful number, since it uses less digits than its factorization.

16376038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 16376038272 in words is "sixteen billion, three hundred seventy-six million, thirty-eight thousand, two hundred seventy-two".