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46443426480 = 24325115999391
BaseRepresentation
bin101011010000001111…
…100111001010110000
311102212201111111221200
4223100033213022300
51230104004121410
633200311451200
73232624416513
oct532017471260
9142781444850
1046443426480
11187731157a0
129001986b00
1344c1c85c59
142368246d7a
15131c5103c0
hexad03e72b0

46443426480 has 240 divisors, whose sum is σ = 173037496320. Its totient is φ = 11068070400.

The previous prime is 46443426479. The next prime is 46443426487. The reversal of 46443426480 is 8462434464.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (46443426487) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 417585 + ... + 516975.

It is an arithmetic number, because the mean of its divisors is an integer number (720989568).

Almost surely, 246443426480 is an apocalyptic number.

46443426480 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 46443426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86518748160).

46443426480 is an abundant number, since it is smaller than the sum of its proper divisors (126594069840).

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

46443426480 is a wasteful number, since it uses less digits than its factorization.

46443426480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99480 (or 99471 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 46443426480 in words is "forty-six billion, four hundred forty-three million, four hundred twenty-six thousand, four hundred eighty".