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463046765455372 = 22719341474312903
BaseRepresentation
bin110100101001000110111100…
…1111110000010100000001100
32020201111211122020101012002211
41221102031321332002200030
5441143024233424032442
64320452425235000204
7166351011340063510
oct15122157176024014
92221454566335084
10463046765455372
111245a503754a24a
1243b25694a39064
1316b4b179523907
14824b823b8a140
15387ed97d46617
hex1a52379f8280c

463046765455372 has 384 divisors, whose sum is σ = 1025409837957120. Its totient is φ = 179037761702400.

The previous prime is 463046765455363. The next prime is 463046765455427. The reversal of 463046765455372 is 273554567640364.

It is a junction number, because it is equal to n+sod(n) for n = 463046765455298 and 463046765455307.

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, 159506290473 + ... + 159506293375.

It is an arithmetic number, because the mean of its divisors is an integer number (2670338119680).

Almost surely, 2463046765455372 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 463046765455372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512704918978560).

463046765455372 is an abundant number, since it is smaller than the sum of its proper divisors (562363072501748).

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

463046765455372 is a wasteful number, since it uses less digits than its factorization.

463046765455372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 67.

The spelling of 463046765455372 in words is "four hundred sixty-three trillion, forty-six billion, seven hundred sixty-five million, four hundred fifty-five thousand, three hundred seventy-two".