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463443214740 = 22351143193211401
BaseRepresentation
bin1101011111001110101…
…11100100000110010100
31122022020011011121101220
412233213113210012110
530043112430332430
6552523004250340
745324361220442
oct6574727440624
91568204147356
10463443214740
111695aa681680
127599a2409b0
13349195421ac
1418606071b92
15c0c658d110
hex6be75e4194

463443214740 has 384 divisors, whose sum is σ = 1466583681024. Its totient is φ = 108380160000.

The previous prime is 463443214739. The next prime is 463443214771. The reversal of 463443214740 is 47412344364.

It is a happy number.

It is a super-2 number, since 2×4634432147402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463443214692 and 463443214701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1155718540 + ... + 1155718940.

It is an arithmetic number, because the mean of its divisors is an integer number (3819228336).

Almost surely, 2463443214740 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 463443214740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733291840512).

463443214740 is an abundant number, since it is smaller than the sum of its proper divisors (1003140466284).

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

463443214740 is a wasteful number, since it uses less digits than its factorization.

463443214740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 463443214740 in words is "four hundred sixty-three billion, four hundred forty-three million, two hundred fourteen thousand, seven hundred forty".