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1342669160448 = 2153371119709
BaseRepresentation
bin10011100010011101010…
…100011000000000000000
311202100122220220101112000
4103202131110120000000
5133444241301113243
62504451431504000
7166001410362150
oct23423524300000
94670586811460
101342669160448
11478471812a60
12198275228000
13997c8156285
1448db243c760
1524dd4dee5d3
hex1389d518000

1342669160448 has 512 divisors, whose sum is σ = 4960108224000. Its totient is φ = 348727541760.

The previous prime is 1342669160447. The next prime is 1342669160473. The reversal of 1342669160448 is 8440619662431.

1342669160448 is a `hidden beast` number, since 1 + 3 + 4 + 26 + 6 + 9 + 1 + 604 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1342669160394 and 1342669160403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342669160447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68114818 + ... + 68134526.

It is an arithmetic number, because the mean of its divisors is an integer number (9687711375).

Almost surely, 21342669160448 is an apocalyptic number.

1342669160448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342669160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480054112000).

1342669160448 is an abundant number, since it is smaller than the sum of its proper divisors (3617439063552).

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

1342669160448 is an equidigital number, since it uses as much as digits as its factorization.

1342669160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19766 (or 19732 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1342669160448 in words is "one trillion, three hundred forty-two billion, six hundred sixty-nine million, one hundred sixty thousand, four hundred forty-eight".