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46424837340 = 2234573294367
BaseRepresentation
bin101011001111001000…
…101100110011011100
311102211102112002110000
4223033020230303130
51230034224243330
633154405214300
73232310415000
oct531710546334
9142742462400
1046424837340
1118763679472
128bb7701390
1344bb177a6b
1423659a8700
15131aa8c560
hexacf22ccdc

46424837340 has 960 divisors, whose sum is σ = 182464128000. Its totient is φ = 9857852928.

The previous prime is 46424837323. The next prime is 46424837377. The reversal of 46424837340 is 4373842464.

46424837340 is a `hidden beast` number, since 4 + 64 + 2 + 483 + 73 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 692907987 + ... + 692908053.

It is an arithmetic number, because the mean of its divisors is an integer number (190066800).

Almost surely, 246424837340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46424837340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91232064000).

46424837340 is an abundant number, since it is smaller than the sum of its proper divisors (136039290660).

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

46424837340 is a wasteful number, since it uses less digits than its factorization.

46424837340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 46424837340 in words is "forty-six billion, four hundred twenty-four million, eight hundred thirty-seven thousand, three hundred forty".