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46344334080 = 2835119711311
BaseRepresentation
bin101011001010010101…
…100110101100000000
311102121211001002201210
4223022111212230000
51224403122142310
633142411530120
73230312224422
oct531225465400
9142554032653
1046344334080
1118722194150
128b94759940
1344a759c5b5
142359010812
151313989820
hexaca566b00

46344334080 has 288 divisors, whose sum is σ = 163146912768. Its totient is φ = 11118182400.

The previous prime is 46344334061. The next prime is 46344334097. The reversal of 46344334080 is 8043344364.

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, 4091625 + ... + 4102935.

It is an arithmetic number, because the mean of its divisors is an integer number (566482336).

Almost surely, 246344334080 is an apocalyptic number.

46344334080 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 46344334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81573456384).

46344334080 is an abundant number, since it is smaller than the sum of its proper divisors (116802578688).

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

46344334080 is a wasteful number, since it uses less digits than its factorization.

46344334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 46344334080 in words is "forty-six billion, three hundred forty-four million, three hundred thirty-four thousand, eighty".