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463213900656 = 2432134123772539
BaseRepresentation
bin1101011110110011011…
…00110011001101110000
31122021122011200020121200
412233121230303031300
530042130224310111
6552444133251200
745315605122323
oct6573154631560
91567564606550
10463213900656
111694a2197601
1275935493b00
13348b0b931a0
14185c381c7ba
15c0b1393256
hex6bd9b33370

463213900656 has 240 divisors, whose sum is σ = 1431290995680. Its totient is φ = 138937835520.

The previous prime is 463213900651. The next prime is 463213900691. The reversal of 463213900656 is 656009312364.

463213900656 is a `hidden beast` number, since 4 + 632 + 1 + 3 + 9 + 0 + 0 + 6 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463213900651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182438235 + ... + 182440773.

It is an arithmetic number, because the mean of its divisors is an integer number (5963712482).

Almost surely, 2463213900656 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 463213900656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715645497840).

463213900656 is an abundant number, since it is smaller than the sum of its proper divisors (968077095024).

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

463213900656 is a wasteful number, since it uses less digits than its factorization.

463213900656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 463213900656 in words is "four hundred sixty-three billion, two hundred thirteen million, nine hundred thousand, six hundred fifty-six".