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1366295954688 = 28327223351941
BaseRepresentation
bin10011111000011101100…
…101011100010100000000
311211121122111212220011100
4103320131211130110000
5134341133231022223
62523400120014400
7200466041665200
oct23703545342400
94747574786140
101366295954688
114874964a1195
121a0969901400
139bac2032ab2
144a1b428a400
1525819271043
hex13e1d95c500

1366295954688 has 324 divisors, whose sum is σ = 4602286316628. Its totient is φ = 388687380480.

The previous prime is 1366295954677. The next prime is 1366295954831. The reversal of 1366295954688 is 8864595926631.

It is a happy number.

1366295954688 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 29 + 59 + 546 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138348290304 + 1227947664384 = 371952^2 + 1108128^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26278798 + ... + 26330738.

It is an arithmetic number, because the mean of its divisors is an integer number (14204587397).

Almost surely, 21366295954688 is an apocalyptic number.

1366295954688 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 1366295954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301143158314).

1366295954688 is an abundant number, since it is smaller than the sum of its proper divisors (3235990361940).

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

1366295954688 is a wasteful number, since it uses less digits than its factorization.

1366295954688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52210 (or 52186 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 1366295954688 in words is "one trillion, three hundred sixty-six billion, two hundred ninety-five million, nine hundred fifty-four thousand, six hundred eighty-eight".