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122828799348 = 22325364375681
BaseRepresentation
bin111001001100100101…
…0101011110101110100
3102202001011001111200200
41302121022223311310
54003023133034343
6132232103240500
711605545365553
oct1623112536564
9382034044620
10122828799348
1148100722a22
121b97b149130
13b776288c38
145d32d05d9a
1532dd4cd4d3
hex1c992abd74

122828799348 has 36 divisors (see below), whose sum is σ = 316342101348. Its totient is φ = 40170424320.

The previous prime is 122828799311. The next prime is 122828799361. The reversal of 122828799348 is 843997828221.

122828799348 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 287 + 9 + 9 + 348 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82471203684 + 40357595664 = 287178^2 + 200892^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32185933 + ... + 32189748.

It is an arithmetic number, because the mean of its divisors is an integer number (8787280593).

Almost surely, 2122828799348 is an apocalyptic number.

122828799348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122828799348 is an abundant number, since it is smaller than the sum of its proper divisors (193513302000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122828799348 is a wasteful number, since it uses less digits than its factorization.

122828799348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64375744 (or 64375739 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

It can be divided in two parts, 1228287 and 99348, that added together give a triangular number (1327635 = T1629).

The spelling of 122828799348 in words is "one hundred twenty-two billion, eight hundred twenty-eight million, seven hundred ninety-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 64375681 128751362 193127043 257502724 386254086 579381129 772508172 1158762258 2317524516 3411911093 6823822186 10235733279 13647644372 20471466558 30707199837 40942933116 61414399674 122828799348