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12219398404416 = 2632710728323409
BaseRepresentation
bin1011000111010000110011…
…1001101011100101000000
31121021011101212212211112200
42301310030321223211000
53100200311442420131
641553303015153200
72400552040460310
oct261641471534500
947234355784480
1012219398404416
113991243927395
12145424b975800
136a839087c768
143035ca105440
15162cc43ca2e6
hexb1d0ce6b940

12219398404416 has 168 divisors, whose sum is σ = 40402324722240. Its totient is φ = 3458627997696.

The previous prime is 12219398404403. The next prime is 12219398404439. The reversal of 12219398404416 is 61440489391221.

12219398404416 is a `hidden beast` number, since 1 + 2 + 2 + 193 + 9 + 8 + 4 + 0 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13730281 + ... + 14593128.

Almost surely, 212219398404416 is an apocalyptic number.

12219398404416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12219398404416 is an abundant number, since it is smaller than the sum of its proper divisors (28182926317824).

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

12219398404416 is a wasteful number, since it uses less digits than its factorization.

12219398404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28323541 (or 28323528 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12219398404416 in words is "twelve trillion, two hundred nineteen billion, three hundred ninety-eight million, four hundred four thousand, four hundred sixteen".