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16681799232 = 263374133637
BaseRepresentation
bin11111000100101000…
…00000111001000000
31121001120202012112000
433202110000321000
5233131020033412
611355152504000
71130250645120
oct174224007100
947046665460
1016681799232
11709049373a
12329684b000
13175b0c2127
14b4372cc80
156797c04dc
hex3e2500e40

16681799232 has 224 divisors, whose sum is σ = 57416029440. Its totient is φ = 4649840640.

The previous prime is 16681799231. The next prime is 16681799257. The reversal of 16681799232 is 23299718661.

It is a tau number, because it is divible by the number of its divisors (224).

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

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

It is not an unprimeable number, because it can be changed into a prime (16681799231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479118 + ... + 512754.

It is an arithmetic number, because the mean of its divisors is an integer number (256321560).

Almost surely, 216681799232 is an apocalyptic number.

16681799232 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 16681799232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28708014720).

16681799232 is an abundant number, since it is smaller than the sum of its proper divisors (40734230208).

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

16681799232 is a wasteful number, since it uses less digits than its factorization.

16681799232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33706 (or 33690 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 16681799232 in words is "sixteen billion, six hundred eighty-one million, seven hundred ninety-nine thousand, two hundred thirty-two".