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16374051072 = 283323127811
BaseRepresentation
bin11110011111111100…
…00011000100000000
31120021010122222102000
433033332003010000
5232013224113242
611304440424000
71116523065141
oct171776030400
946233588360
1016374051072
116a427a7a15
12320b778000
13170c410722
14b148ddac8
1565c780a4c
hex3cff83100

16374051072 has 288 divisors, whose sum is σ = 50986844160. Its totient is φ = 5173217280.

The previous prime is 16374051061. The next prime is 16374051073. The reversal of 16374051072 is 27015047361.

It is a happy number.

16374051072 is a `hidden beast` number, since 1 + 6 + 3 + 74 + 0 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16374051073) 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, 20189547 + ... + 20190357.

Almost surely, 216374051072 is an apocalyptic number.

16374051072 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 16374051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25493422080).

16374051072 is an abundant number, since it is smaller than the sum of its proper divisors (34612793088).

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

16374051072 is a wasteful number, since it uses less digits than its factorization.

16374051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 16374051072 in words is "sixteen billion, three hundred seventy-four million, fifty-one thousand, seventy-two".