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67530748949 = 1737346930949
BaseRepresentation
bin111110111001001001…
…010111010000010101
320110022100000111012222
4332321021113100111
52101300332431244
651005002152125
74610321615666
oct767111272025
9213270014188
1067530748949
1126704390224
1211107ab2645
1364a29c3061
1433a8acb36d
151b5395abee
hexfb9257415

67530748949 has 16 divisors (see below), whose sum is σ = 73459206000. Its totient is φ = 61820734464.

The previous prime is 67530748931. The next prime is 67530748951. The reversal of 67530748949 is 94984703576.

It can be written as a sum of positive squares in 8 ways, for example, as 8243368849 + 59287380100 = 90793^2 + 243490^2 .

It is not a de Polignac number, because 67530748949 - 228 = 67262313493 is a prime.

It is a super-2 number, since 2×675307489492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67530748891 and 67530748900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67530748849) 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 15 ways as a sum of consecutive naturals, for example, 2166527 + ... + 2197475.

It is an arithmetic number, because the mean of its divisors is an integer number (4591200375).

Almost surely, 267530748949 is an apocalyptic number.

It is an amenable number.

67530748949 is a deficient number, since it is larger than the sum of its proper divisors (5928457051).

67530748949 is a wasteful number, since it uses less digits than its factorization.

67530748949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34472.

The product of its (nonzero) digits is 45722880, while the sum is 62.

The spelling of 67530748949 in words is "sixty-seven billion, five hundred thirty million, seven hundred forty-eight thousand, nine hundred forty-nine".

Divisors: 1 17 37 629 3469 30949 58973 128353 526133 1145113 2182001 19466921 107362081 1825155377 3972396997 67530748949