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1348133468148 = 2232119331389901
BaseRepresentation
bin10011100111100011000…
…001000011011111110100
311202212202201221222111200
4103213203001003133310
5134041434131440043
62511153550532500
7166254001256325
oct23474301033764
94685681858450
101348133468148
1147a816219235
1219933b207130
139a18925103c
144937004444c
15251049bd7d3
hex139e30437f4

1348133468148 has 36 divisors (see below), whose sum is σ = 3410638411908. Its totient is φ = 449001129600.

The previous prime is 1348133468147. The next prime is 1348133468179. The reversal of 1348133468148 is 8418643318431.

1348133468148 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 33 + 468 + 148 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 893172426084 + 454961042064 = 945078^2 + 674508^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1348133468094 and 1348133468103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348133468147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15652003 + ... + 15737898.

Almost surely, 21348133468148 is an apocalyptic number.

1348133468148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1348133468148 is an abundant number, since it is smaller than the sum of its proper divisors (2062504943760).

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

1348133468148 is a wasteful number, since it uses less digits than its factorization.

1348133468148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31391104 (or 31391099 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 1348133468148 in words is "one trillion, three hundred forty-eight billion, one hundred thirty-three million, four hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1193 2386 3579 4772 7158 10737 14316 21474 42948 31389901 62779802 94169703 125559604 188339406 282509109 376678812 565018218 1130036436 37448151893 74896303786 112344455679 149792607572 224688911358 337033367037 449377822716 674066734074 1348133468148