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16799311872 = 211347172337
BaseRepresentation
bin11111010010101000…
…10010100000000000
31121100202212110120000
433221110102200000
5233401110434442
611414551320000
71133205536430
oct175124224000
947322773500
1016799311872
117140856722
12330a080000
131779557b35
14b5519c2c0
15684c83d4c
hex3e9512800

16799311872 has 960 divisors, whose sum is σ = 65072367360. Its totient is φ = 4204265472.

The previous prime is 16799311847. The next prime is 16799311891. The reversal of 16799311872 is 27811399761.

It is a happy number.

16799311872 is a `hidden beast` number, since 167 + 99 + 311 + 87 + 2 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 454035438 + ... + 454035474.

It is an arithmetic number, because the mean of its divisors is an integer number (67783716).

Almost surely, 216799311872 is an apocalyptic number.

16799311872 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 16799311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32536183680).

16799311872 is an abundant number, since it is smaller than the sum of its proper divisors (48273055488).

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

16799311872 is a wasteful number, since it uses less digits than its factorization.

16799311872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 16799311872 in words is "sixteen billion, seven hundred ninety-nine million, three hundred eleven thousand, eight hundred seventy-two".