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16938880380 = 22345192371337
BaseRepresentation
bin11111100011010001…
…01100110101111100
31121201111111021120000
433301220230311330
5234142323133010
611440454554300
71136522051622
oct176150546574
947644437500
1016938880380
1172026135a4
123348968990
13179c443956
14b6992d512
156921527c0
hex3f1a2cd7c

16938880380 has 480 divisors, whose sum is σ = 59364264960. Its totient is φ = 4023613440.

The previous prime is 16938880369. The next prime is 16938880459. The reversal of 16938880380 is 8308883961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50263572 + ... + 50263908.

It is an arithmetic number, because the mean of its divisors is an integer number (123675552).

Almost surely, 216938880380 is an apocalyptic number.

16938880380 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 16938880380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29682132480).

16938880380 is an abundant number, since it is smaller than the sum of its proper divisors (42425384580).

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

16938880380 is a wasteful number, since it uses less digits than its factorization.

16938880380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 16938880380 in words is "sixteen billion, nine hundred thirty-eight million, eight hundred eighty thousand, three hundred eighty".