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77006377 = 711000911
BaseRepresentation
bin1001001011100…
…00011000101001
312100220022220001
410211300120221
5124203201002
611350303001
71623354250
oct445603051
9170808801
1077006377
113a517038
1221957a61
1312c52906
14a327797
156b61a87
hex4970629

77006377 has 4 divisors (see below), whose sum is σ = 88007296. Its totient is φ = 66005460.

The previous prime is 77006359. The next prime is 77006381. The reversal of 77006377 is 77360077.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77006377 is a prime.

It is a super-2 number, since 2×770063772 = 11859964197332258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77006327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5500449 + ... + 5500462.

It is an arithmetic number, because the mean of its divisors is an integer number (22001824).

Almost surely, 277006377 is an apocalyptic number.

It is an amenable number.

77006377 is a deficient number, since it is larger than the sum of its proper divisors (11000919).

77006377 is a wasteful number, since it uses less digits than its factorization.

77006377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000918.

The product of its (nonzero) digits is 43218, while the sum is 37.

The square root of 77006377 is about 8775.3277431672. The cubic root of 77006377 is about 425.4438306913.

The spelling of 77006377 in words is "seventy-seven million, six thousand, three hundred seventy-seven".

Divisors: 1 7 11000911 77006377