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1327368950352 = 2436373538713
BaseRepresentation
bin10011010100001101010…
…110101101001001010000
311200220011121212012000000
4103110031112231021100
5133221422422402402
62453441311130000
7164620303626504
oct23241526551120
94626147765000
101327368950352
11471a30193725
12195305213900
139822a367913
14483603cc304
15247dba88c1c
hex1350d5ad250

1327368950352 has 280 divisors, whose sum is σ = 3971789926824. Its totient is φ = 429229228032.

The previous prime is 1327368950333. The next prime is 1327368950377. The reversal of 1327368950352 is 2530598637231.

1327368950352 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 6 + 89 + 503 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 788501376576 + 538867573776 = 887976^2 + 734076^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 152339148 + ... + 152347860.

Almost surely, 21327368950352 is an apocalyptic number.

1327368950352 is a gapful number since it is divisible by the number (12) 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 1327368950352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985894963412).

1327368950352 is an abundant number, since it is smaller than the sum of its proper divisors (2644420976472).

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

1327368950352 is an equidigital number, since it uses as much as digits as its factorization.

1327368950352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 1327368950352 in words is "one trillion, three hundred twenty-seven billion, three hundred sixty-eight million, nine hundred fifty thousand, three hundred fifty-two".