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148048712077 = 7417319136997
BaseRepresentation
bin1000100111100001100…
…1000001000110001101
3112011010202202211001111
42021320121001012031
54411200432241302
6152002421412021
713460533201120
oct2117031010615
9464122684044
10148048712077
1157872702702
122483926a011
1310c6522c216
1472465763b7
153cb76400d7
hex227864118d

148048712077 has 32 divisors (see below), whose sum is σ = 176624308224. Its totient is φ = 121465267200.

The previous prime is 148048712047. The next prime is 148048712081. The reversal of 148048712077 is 770217840841.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 148048712077 - 235 = 113688973709 is a prime.

It is a super-2 number, since 2×1480487120772 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148048712077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148048712027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3983143 + ... + 4020139.

It is an arithmetic number, because the mean of its divisors is an integer number (5519509632).

Almost surely, 2148048712077 is an apocalyptic number.

It is an amenable number.

148048712077 is a deficient number, since it is larger than the sum of its proper divisors (28575596147).

148048712077 is a wasteful number, since it uses less digits than its factorization.

148048712077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37309.

The product of its (nonzero) digits is 702464, while the sum is 49.

The spelling of 148048712077 in words is "one hundred forty-eight billion, forty-eight million, seven hundred twelve thousand, seventy-seven".

Divisors: 1 7 41 73 191 287 511 1337 2993 7831 13943 20951 36997 54817 97601 258979 571663 1516877 2700781 4001641 7066427 10618139 18905467 49464989 110732021 289723507 515849171 775124147 2028064549 3610944197 21149816011 148048712077