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77220005427 = 333192258071
BaseRepresentation
bin100011111101010101…
…0111100011000110011
321101022121001201101000
41013322222330120303
52231121310133202
655250244413043
75402404134105
oct1077252743063
9241277051330
1077220005427
112a826753004
1212b709a7183
1373881c0606
143a47881575
15201e3d691c
hex11faabc633

77220005427 has 16 divisors (see below), whose sum is σ = 118090332160. Its totient is φ = 49819357800.

The previous prime is 77220005419. The next prime is 77220005441. The reversal of 77220005427 is 72450002277.

77220005427 is a `hidden beast` number, since 7 + 7 + 220 + 0 + 0 + 5 + 427 = 666.

It is not a de Polignac number, because 77220005427 - 23 = 77220005419 is a prime.

It is a super-3 number, since 3×772200054273 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77220005391 and 77220005400.

It is not an unprimeable number, because it can be changed into a prime (77220000427) 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, 46128199 + ... + 46129872.

It is an arithmetic number, because the mean of its divisors is an integer number (7380645760).

Almost surely, 277220005427 is an apocalyptic number.

77220005427 is a deficient number, since it is larger than the sum of its proper divisors (40870326733).

77220005427 is a wasteful number, since it uses less digits than its factorization.

77220005427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92258111 (or 92258105 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The spelling of 77220005427 in words is "seventy-seven billion, two hundred twenty million, five thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 31 93 279 837 92258071 276774213 830322639 2490967917 2860000201 8580000603 25740001809 77220005427