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67530748950 = 2345273173281
BaseRepresentation
bin111110111001001001…
…010111010000010110
320110022100000111020000
4332321021113100112
52101300332431300
651005002152130
74610321616000
oct767111272026
9213270014200
1067530748950
1126704390225
1211107ab2646
1364a29c3062
1433a8acb370
151b5395ac00
hexfb9257416

67530748950 has 480 divisors, whose sum is σ = 220864881600. Its totient is φ = 15291763200.

The previous prime is 67530748931. The next prime is 67530748951. The reversal of 67530748950 is 5984703576.

67530748950 is a `hidden beast` number, since 67 + 53 + 0 + 7 + 489 + 50 = 666.

It is a super-2 number, since 2×675307489502 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67530748951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 240322810 + ... + 240323090.

It is an arithmetic number, because the mean of its divisors is an integer number (460135170).

Almost surely, 267530748950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67530748950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110432440800).

67530748950 is an abundant number, since it is smaller than the sum of its proper divisors (153334132650).

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

67530748950 is a wasteful number, since it uses less digits than its factorization.

67530748950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 67530748950 in words is "sixty-seven billion, five hundred thirty million, seven hundred forty-eight thousand, nine hundred fifty".