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46321351680 = 210356734481
BaseRepresentation
bin101011001000111101…
…111011110000000000
311102120012210110210210
4223020331323300000
51224331231223210
633140231154120
73226612664352
oct531075736000
9142505713723
1046321351680
111871021712a
128b88b15940
1344a28b3846
142355d4b0d2
151311949e20
hexac8f7bc00

46321351680 has 176 divisors, whose sum is σ = 148409203104. Its totient is φ = 12331253760.

The previous prime is 46321351667. The next prime is 46321351709. The reversal of 46321351680 is 8615312364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10335040 + ... + 10339520.

Almost surely, 246321351680 is an apocalyptic number.

46321351680 is a gapful number since it is divisible by the number (40) 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 46321351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74204601552).

46321351680 is an abundant number, since it is smaller than the sum of its proper divisors (102087851424).

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

46321351680 is a wasteful number, since it uses less digits than its factorization.

46321351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 46321351680 in words is "forty-six billion, three hundred twenty-one million, three hundred fifty-one thousand, six hundred eighty".