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60048267552 = 25327213327317
BaseRepresentation
bin110111111011001001…
…111101100100100000
312201222212102001101100
4313323021331210200
51440434324030202
643330310434400
74224023565300
oct677311754440
9181885361340
1060048267552
11235147551a9
12b77a062a00
13587c759b80
142c99059600
151866ad941c
hexdfb27d920

60048267552 has 216 divisors, whose sum is σ = 213922606716. Its totient is φ = 15836857344.

The previous prime is 60048267523. The next prime is 60048267557. The reversal of 60048267552 is 25576284006.

60048267552 is a `hidden beast` number, since 60 + 0 + 482 + 67 + 5 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59709854736 + 338412816 = 244356^2 + 18396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 60048267498 and 60048267507.

It is not an unprimeable number, because it can be changed into a prime (60048267557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19798 + ... + 347114.

Almost surely, 260048267552 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 60048267552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106961303358).

60048267552 is an abundant number, since it is smaller than the sum of its proper divisors (153874339164).

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

60048267552 is a wasteful number, since it uses less digits than its factorization.

60048267552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327360 (or 327342 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 60048267552 in words is "sixty billion, forty-eight million, two hundred sixty-seven thousand, five hundred fifty-two".