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16803376992 = 253319448353
BaseRepresentation
bin11111010011000111…
…10010111101100000
31121101001111222212000
433221203302331200
5233403131030432
611415214404000
71133255230203
oct175143627540
947331458760
1016803376992
117143082926
12330b500600
13177a34c22c
14b5593993a
156852d857c
hex3e98f2f60

16803376992 has 48 divisors (see below), whose sum is σ = 49009852080. Its totient is φ = 5601125376.

The previous prime is 16803376991. The next prime is 16803376999. The reversal of 16803376992 is 29967330861.

16803376992 is a `hidden beast` number, since 168 + 0 + 337 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16803376991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9723313 + ... + 9725040.

It is an arithmetic number, because the mean of its divisors is an integer number (1021038585).

Almost surely, 216803376992 is an apocalyptic number.

16803376992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16803376992 is an abundant number, since it is smaller than the sum of its proper divisors (32206475088).

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

16803376992 is a wasteful number, since it uses less digits than its factorization.

16803376992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19448372 (or 19448358 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

It can be divided in two parts, 168033 and 76992, that added together give a square (245025 = 4952).

The spelling of 16803376992 in words is "sixteen billion, eight hundred three million, three hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 19448353 38896706 58345059 77793412 116690118 155586824 175035177 233380236 311173648 350070354 466760472 525105531 622347296 700140708 933520944 1050211062 1400281416 1867041888 2100422124 2800562832 4200844248 5601125664 8401688496 16803376992