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48297130560 = 26325717197417
BaseRepresentation
bin101100111110101110…
…111011101001000000
311121122220120102220100
4230332232323221000
51242403031134220
634104251042400
73326563556550
oct547656735100
9147586512810
1048297130560
1119534520038
12943a740400
13472902a383
1424a24dd160
1513ca125d90
hexb3ebbba40

48297130560 has 672 divisors, whose sum is σ = 211630199040. Its totient is φ = 9841803264.

The previous prime is 48297130559. The next prime is 48297130571. The reversal of 48297130560 is 6503179284.

48297130560 is a `hidden beast` number, since 4 + 82 + 9 + 7 + 1 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×482971305602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6507972 + ... + 6515388.

It is a 1-persistent number, because it is pandigital, but 2⋅48297130560 = 96594261120 is not.

Almost surely, 248297130560 is an apocalyptic number.

48297130560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48297130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105815099520).

48297130560 is an abundant number, since it is smaller than the sum of its proper divisors (163333068480).

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

48297130560 is a wasteful number, since it uses less digits than its factorization.

48297130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 48297130560 in words is "forty-eight billion, two hundred ninety-seven million, one hundred thirty thousand, five hundred sixty".