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1213625621376 = 27337219735167
BaseRepresentation
bin10001101010010001101…
…110010101101110000000
311022000120122201101122000
4101222101232111232000
5124341001124341001
62325310520544000
7153452526400500
oct21522156255600
94260518641560
101213625621376
1142877202a103
12177260922000
138a5a148626c
1442a4ddc9a00
152188101ba86
hex11a91b95b80

1213625621376 has 768 divisors, whose sum is σ = 4446919296000. Its totient is φ = 323937460224.

The previous prime is 1213625621371. The next prime is 1213625621401. The reversal of 1213625621376 is 6731265263121.

1213625621376 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 6 + 2 + 562 + 13 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213625621371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234877545 + ... + 234882711.

It is an arithmetic number, because the mean of its divisors is an integer number (5790259500).

Almost surely, 21213625621376 is an apocalyptic number.

1213625621376 is a gapful number since it is divisible by the number (16) 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 1213625621376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223459648000).

1213625621376 is an abundant number, since it is smaller than the sum of its proper divisors (3233293674624).

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

1213625621376 is a wasteful number, since it uses less digits than its factorization.

1213625621376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5271 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 1213625621376 in words is "one trillion, two hundred thirteen billion, six hundred twenty-five million, six hundred twenty-one thousand, three hundred seventy-six".