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16133379840 = 283254332569
BaseRepresentation
bin11110000011001111…
…11101011100000000
31112122100210121112200
433001213331130000
5231020121123330
611224522153200
71110541315554
oct170147753400
945570717480
1016133379840
116929966076
123163052800
1316a15b6206
14ad0971864
15646590a60
hex3c19fd700

16133379840 has 216 divisors, whose sum is σ = 57119702640. Its totient is φ = 4202053632.

The previous prime is 16133379839. The next prime is 16133379851. The reversal of 16133379840 is 4897333161.

16133379840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 479076 + ... + 511644.

Almost surely, 216133379840 is an apocalyptic number.

16133379840 is a gapful number since it is divisible by the number (10) 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 16133379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28559851320).

16133379840 is an abundant number, since it is smaller than the sum of its proper divisors (40986322800).

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

16133379840 is a wasteful number, since it uses less digits than its factorization.

16133379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32639 (or 32622 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16133379840 in words is "sixteen billion, one hundred thirty-three million, three hundred seventy-nine thousand, eight hundred forty".