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1213988053824 = 263371319406327
BaseRepresentation
bin10001101010100111010…
…100111010001101000000
311022001111220200212111000
4101222213110322031000
5124342221420210244
62325410505052000
7153464520125040
oct21524724721500
94261456625430
101213988053824
11428938675a57
12177342187000
138a62b5a3230
1442a861b1720
15218a2c5e169
hex11aa753a340

1213988053824 has 448 divisors, whose sum is σ = 4623687577600. Its totient is φ = 303320733696.

The previous prime is 1213988053787. The next prime is 1213988053849. The reversal of 1213988053824 is 4283508893121.

1213988053824 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 9 + 8 + 80 + 538 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 2784549 + ... + 3190875.

It is an arithmetic number, because the mean of its divisors is an integer number (10320731200).

Almost surely, 21213988053824 is an apocalyptic number.

1213988053824 is a gapful number since it is divisible by the number (14) 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 1213988053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311843788800).

1213988053824 is an abundant number, since it is smaller than the sum of its proper divisors (3409699523776).

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

1213988053824 is a wasteful number, since it uses less digits than its factorization.

1213988053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406387 (or 406371 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1213988053824 in words is "one trillion, two hundred thirteen billion, nine hundred eighty-eight million, fifty-three thousand, eight hundred twenty-four".