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1222540986816 = 26331953977243
BaseRepresentation
bin10001110010100101000…
…111110000100111000000
311022212120222112212212000
4101302211013300213000
5130012230443034231
62333343320104000
7154216463633532
oct21624507604700
94285528485760
101222540986816
11431527574116
12178b2a605000
138b392542826
144325808d852
1521c03a7b6e6
hex11ca51f09c0

1222540986816 has 448 divisors, whose sum is σ = 3894861196800. Its totient is φ = 374824599552.

The previous prime is 1222540986769. The next prime is 1222540986829. The reversal of 1222540986816 is 6186890452221.

1222540986816 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 540 + 9 + 86 + 8 + 16 = 666.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168785691 + ... + 168792933.

It is an arithmetic number, because the mean of its divisors is an integer number (8693886600).

Almost surely, 21222540986816 is an apocalyptic number.

1222540986816 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 1222540986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947430598400).

1222540986816 is an abundant number, since it is smaller than the sum of its proper divisors (2672320209984).

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

1222540986816 is a wasteful number, since it uses less digits than its factorization.

1222540986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7417 counting only the distinct ones).

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

The spelling of 1222540986816 in words is "one trillion, two hundred twenty-two billion, five hundred forty million, nine hundred eighty-six thousand, eight hundred sixteen".