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16722906816 = 2637114147587
BaseRepresentation
bin11111001001100001…
…10100111011000000
31121011110002200112010
433210300310323000
5233222031004231
611403221532520
71131260235240
oct174460647300
947143080463
1016722906816
117101710450
1232a8574140
131766785b45
14b48d8db20
1567d1e0546
hex3e4c34ec0

16722906816 has 448 divisors, whose sum is σ = 57809977344. Its totient is φ = 4140441600.

The previous prime is 16722906799. The next prime is 16722906883. The reversal of 16722906816 is 61860922761.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×167229068162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28488475 + ... + 28489061.

It is an arithmetic number, because the mean of its divisors is an integer number (129040128).

Almost surely, 216722906816 is an apocalyptic number.

16722906816 is a gapful number since it is divisible by the number (16) 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 16722906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28904988672).

16722906816 is an abundant number, since it is smaller than the sum of its proper divisors (41087070528).

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

16722906816 is a wasteful number, since it uses less digits than its factorization.

16722906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 16722906816 in words is "sixteen billion, seven hundred twenty-two million, nine hundred six thousand, eight hundred sixteen".