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1327727422464 = 210319101225223
BaseRepresentation
bin10011010100100010101…
…110001010110000000000
311200221002121101110021220
4103110202232022300000
5133223141210004324
62453541034315040
7164632215610632
oct23244256126000
94627077343256
101327727422464
114720a4575073
121953a5288a80
13982866c90b1
1448395c62a52
152480d297b79
hex13522b8ac00

1327727422464 has 176 divisors, whose sum is σ = 3762033588480. Its totient is φ = 415129190400.

The previous prime is 1327727422423. The next prime is 1327727422499. The reversal of 1327727422464 is 4642247277231.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782557 + ... + 6007779.

Almost surely, 21327727422464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327727422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881016794240).

1327727422464 is an abundant number, since it is smaller than the sum of its proper divisors (2434306166016).

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

1327727422464 is a wasteful number, since it uses less digits than its factorization.

1327727422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225366 (or 225348 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 51.

The spelling of 1327727422464 in words is "one trillion, three hundred twenty-seven billion, seven hundred twenty-seven million, four hundred twenty-two thousand, four hundred sixty-four".