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428148515448 = 233319229189337
BaseRepresentation
bin1100011101011111010…
…00111110001001111000
31111221010101222010001000
412032233220332021320
524003322004443243
6524404432325000
742634630222503
oct6165750761170
91457111863030
10428148515448
11155638747705
126ab8a0a3760
13314b3258344
1416a1877213a
15b20cbe95d3
hex63afa3e278

428148515448 has 192 divisors, whose sum is σ = 1298480004000. Its totient is φ = 130541870592.

The previous prime is 428148515393. The next prime is 428148515519. The reversal of 428148515448 is 844515841824.

428148515448 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 48 + 51 + 544 + 8 = 666.

It is a super-2 number, since 2×4281485154482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 428148515394 and 428148515403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2166636 + ... + 2355972.

Almost surely, 2428148515448 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 428148515448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649240002000).

428148515448 is an abundant number, since it is smaller than the sum of its proper divisors (870331488552).

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

428148515448 is a wasteful number, since it uses less digits than its factorization.

428148515448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189419 (or 189390 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 54.

The spelling of 428148515448 in words is "four hundred twenty-eight billion, one hundred forty-eight million, five hundred fifteen thousand, four hundred forty-eight".