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16938941292 = 22347131992887
BaseRepresentation
bin11111100011010001…
…11011101101101100
31121201111121101010000
433301220323231230
5234142332110132
611440500144300
71136522424330
oct176150735554
947644541100
1016938941292
117202655339
123348998090
13179c4655b0
14b699477c0
1569216587c
hex3f1a3bb6c

16938941292 has 240 divisors, whose sum is σ = 54793446400. Its totient is φ = 4443424128.

The previous prime is 16938941233. The next prime is 16938941297. The reversal of 16938941292 is 29214983961.

16938941292 is a `hidden beast` number, since 1 + 69 + 3 + 89 + 412 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16938941297) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5865873 + ... + 5868759.

Almost surely, 216938941292 is an apocalyptic number.

16938941292 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 16938941292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27396723200).

16938941292 is an abundant number, since it is smaller than the sum of its proper divisors (37854505108).

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

16938941292 is a wasteful number, since it uses less digits than its factorization.

16938941292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3111 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

It can be divided in two parts, 169389 and 41292, that added together give a square (210681 = 4592).

The spelling of 16938941292 in words is "sixteen billion, nine hundred thirty-eight million, nine hundred forty-one thousand, two hundred ninety-two".