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17914228992 = 2832111741579
BaseRepresentation
bin10000101011110001…
…010111000100000000
31201020110210010022200
4100223301113010000
5243142020311432
612121340033200
71202634301602
oct205361270400
951213703280
1017914228992
11766312a430
12357b532800
1318c652c4ca
14c1d2a1172
156ecab4a7c
hex42bc57100

17914228992 has 216 divisors, whose sum is σ = 59662643040. Its totient is φ = 5109104640.

The previous prime is 17914228979. The next prime is 17914229017. The reversal of 17914228992 is 29982241971.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410059 + ... + 451637.

It is an arithmetic number, because the mean of its divisors is an integer number (276215940).

Almost surely, 217914228992 is an apocalyptic number.

17914228992 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 17914228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29831321520).

17914228992 is an abundant number, since it is smaller than the sum of its proper divisors (41748414048).

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

17914228992 is a wasteful number, since it uses less digits than its factorization.

17914228992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41629 (or 41612 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 17914228992 in words is "seventeen billion, nine hundred fourteen million, two hundred twenty-eight thousand, nine hundred ninety-two".