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1729994112 = 27347112197
BaseRepresentation
bin110011100011101…
…1001110110000000
311110120021210210000
41213013121312000
512020334302422
6443355440000
760604464420
oct14707316600
94416253700
101729994112
1180859a200
12403456000
1321754b972
14125a92480
15a1d2acac
hex671d9d80

1729994112 has 480 divisors, whose sum is σ = 6500284560. Its totient is φ = 447068160.

The previous prime is 1729994107. The next prime is 1729994113. The reversal of 1729994112 is 2114999271.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (81648) is a multiple of the sum of its prime factors (252).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1729994113) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8781598 + ... + 8781794.

Almost surely, 21729994112 is an apocalyptic number.

1729994112 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 1729994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250142280).

1729994112 is an abundant number, since it is smaller than the sum of its proper divisors (4770290448).

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

1729994112 is a wasteful number, since it uses less digits than its factorization.

1729994112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 1729994112 is about 41593.1979054268. The cubic root of 1729994112 is about 1200.4614225516.

The spelling of 1729994112 in words is "one billion, seven hundred twenty-nine million, nine hundred ninety-four thousand, one hundred twelve".