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18074278656 = 283371919661
BaseRepresentation
bin10000110101010011…
…111001101100000000
31201122121221111012000
4100311103321230000
5244004003404111
612145254304000
71206616555650
oct206523715400
951577844160
1018074278656
117735506085
123605058000
131920739755
14c36644360
1570bb7bc56
hex4354f9b00

18074278656 has 288 divisors, whose sum is σ = 64302604800. Its totient is φ = 4892037120.

The previous prime is 18074278643. The next prime is 18074278661. The reversal of 18074278656 is 65687247081.

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909466 + ... + 929126.

Almost surely, 218074278656 is an apocalyptic number.

18074278656 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 18074278656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32151302400).

18074278656 is an abundant number, since it is smaller than the sum of its proper divisors (46228326144).

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

18074278656 is a wasteful number, since it uses less digits than its factorization.

18074278656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19712 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 18074278656 in words is "eighteen billion, seventy-four million, two hundred seventy-eight thousand, six hundred fifty-six".