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67680076165 = 51341592391801
BaseRepresentation
bin111111000010000011…
…000000000110000101
320110200202000002122121
4333002003000012011
52102102044414130
651031454525541
74614114104212
oct770203000605
9213622002577
1067680076165
1126780702a49
1211149b068b1
1364c7917960
1433c087cb09
151b61b05d7a
hexfc20c0185

67680076165 has 64 divisors (see below), whose sum is σ = 91547366400. Its totient is φ = 47706624000.

The previous prime is 67680076147. The next prime is 67680076183. The reversal of 67680076165 is 56167008676.

It is an interprime number because it is at equal distance from previous prime (67680076147) and next prime (67680076183).

It is not a de Polignac number, because 67680076165 - 29 = 67680075653 is a prime.

It is a super-2 number, since 2×676800761652 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37578265 + ... + 37580065.

It is an arithmetic number, because the mean of its divisors is an integer number (1430427600).

Almost surely, 267680076165 is an apocalyptic number.

67680076165 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67680076165 is a deficient number, since it is larger than the sum of its proper divisors (23867290235).

67680076165 is a wasteful number, since it uses less digits than its factorization.

67680076165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 67680076165 in words is "sixty-seven billion, six hundred eighty million, seventy-six thousand, one hundred sixty-five".

Divisors: 1 5 13 41 59 65 205 239 295 533 767 1195 1801 2419 2665 3107 3835 9005 9799 12095 14101 15535 23413 31447 48995 70505 73841 106259 117065 127387 157235 183313 369205 430439 531295 578141 636935 916565 959933 1381367 2152195 2890705 4356619 4799665 5595707 6906835 7515833 17647999 21783095 25395901 27978535 37579165 56636047 88239995 126979505 229423987 283180235 330146713 1041231941 1147119935 1650733565 5206159705 13536015233 67680076165