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480047750048 = 25177312088229
BaseRepresentation
bin1101111110001010001…
…00110101101110100000
31200220002100112101202002
412333011010311232200
530331114211000143
61004310401143132
746453013356406
oct6770504655640
91626070471662
10480047750048
11175650492829
127905302aaa8
1336364621409
141933d40b476
15c74919a5b8
hex6fc5135ba0

480047750048 has 48 divisors (see below), whose sum is σ = 1014395908680. Its totient is φ = 222810218496.

The previous prime is 480047750027. The next prime is 480047750089. The reversal of 480047750048 is 840057740084.

It can be written as a sum of positive squares in 4 ways, for example, as 480010637584 + 37112464 = 692828^2 + 6092^2 .

It is a super-2 number, since 2×4800477500482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480047749984 and 480047750011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6004403 + ... + 6083826.

Almost surely, 2480047750048 is an apocalyptic number.

It is an amenable number.

480047750048 is an abundant number, since it is smaller than the sum of its proper divisors (534348158632).

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

480047750048 is a wasteful number, since it uses less digits than its factorization.

480047750048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088329 (or 12088321 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 47.

The spelling of 480047750048 in words is "four hundred eighty billion, forty-seven million, seven hundred fifty thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 4964 9928 19856 39712 12088229 24176458 48352916 96705832 193411664 205499893 386823328 410999786 821999572 882440717 1643999144 1764881434 3287998288 3529762868 6575996576 7059525736 14119051472 15001492189 28238102944 30002984378 60005968756 120011937512 240023875024 480047750048