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16959422340 = 2232573318861
BaseRepresentation
bin11111100101101110…
…00011111110000100
31121202221010220211100
433302313003332010
5234213103003330
611442511140100
71140161466000
oct176267037604
947687126740
1016959422340
117213174023
123353814630
1317a3786963
14b6c559700
15693d5e060
hex3f2dc3f84

16959422340 has 288 divisors, whose sum is σ = 61934745600. Its totient is φ = 3750969600.

The previous prime is 16959422321. The next prime is 16959422413. The reversal of 16959422340 is 4322495961.

16959422340 is a `hidden beast` number, since 1 + 6 + 9 + 594 + 22 + 34 + 0 = 666.

It is a super-2 number, since 2×169594223402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1909510 + ... + 1918370.

It is an arithmetic number, because the mean of its divisors is an integer number (215051200).

Almost surely, 216959422340 is an apocalyptic number.

16959422340 is a gapful number since it is divisible by the number (10) 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 16959422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30967372800).

16959422340 is an abundant number, since it is smaller than the sum of its proper divisors (44975323260).

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

16959422340 is a wasteful number, since it uses less digits than its factorization.

16959422340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16959422340 in words is "sixteen billion, nine hundred fifty-nine million, four hundred twenty-two thousand, three hundred forty".