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77916641401 = 3725770111689
BaseRepresentation
bin100100010010000110…
…0011001100001111001
321110010010220111021101
41020210030121201321
52234033130011101
655443332011401
75425563344554
oct1104414314171
9243103814241
1077916641401
1130053a04a15
1213126160b61
137469622751
143ab21c169b
152060642401
hex1224319879

77916641401 has 16 divisors (see below), whose sum is σ = 80455349520. Its totient is φ = 75401625600.

The previous prime is 77916641393. The next prime is 77916641437. The reversal of 77916641401 is 10414661977.

It can be written as a sum of positive squares in 8 ways, for example, as 62322626025 + 15594015376 = 249645^2 + 124876^2 .

It is a cyclic number.

It is not a de Polignac number, because 77916641401 - 23 = 77916641393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77916641461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6659965 + ... + 6671653.

It is an arithmetic number, because the mean of its divisors is an integer number (5028459345).

Almost surely, 277916641401 is an apocalyptic number.

It is an amenable number.

77916641401 is a deficient number, since it is larger than the sum of its proper divisors (2538708119).

77916641401 is a wasteful number, since it uses less digits than its factorization.

77916641401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 77916641401 in words is "seventy-seven billion, nine hundred sixteen million, six hundred forty-one thousand, four hundred one".

Divisors: 1 37 257 701 9509 11689 25937 180157 432493 3004073 6665809 8193989 111150701 303177593 2105855173 77916641401