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1213883386848 = 25321131371731931
BaseRepresentation
bin10001101010100001000…
…101101000101111100000
311022001020121202020101100
4101222201011220233200
5124342013121334343
62325352245434400
7153462106354356
oct21524105505740
94261217666340
101213883386848
11428894587120
1217731310ba00
138a6129b7402
1442a763277d6
15218989869d3
hex11aa1168be0

1213883386848 has 576 divisors, whose sum is σ = 4017492670464. Its totient is φ = 344176128000.

The previous prime is 1213883386847. The next prime is 1213883386967. The reversal of 1213883386848 is 8486833883121.

1213883386848 is a `hidden beast` number, since 1 + 2 + 138 + 83 + 386 + 8 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213883386847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628628443 + ... + 628630373.

It is an arithmetic number, because the mean of its divisors is an integer number (6974813664).

Almost surely, 21213883386848 is an apocalyptic number.

1213883386848 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 1213883386848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008746335232).

1213883386848 is an abundant number, since it is smaller than the sum of its proper divisors (2803609283616).

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

1213883386848 is a wasteful number, since it uses less digits than its factorization.

1213883386848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2188 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 1213883386848 in words is "one trillion, two hundred thirteen billion, eight hundred eighty-three million, three hundred eighty-six thousand, eight hundred forty-eight".