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14418690048 = 21432761229
BaseRepresentation
bin11010110110110101…
…11100000000000000
31101012212022100100100
431123122330000000
5214012141040143
610342430322400
71020210562140
oct153332740000
941185270310
1014418690048
116129a7a274
122964959400
13148a295579
149aad44920
15595c896d3
hex35b6bc000

14418690048 has 360 divisors, whose sum is σ = 48594771680. Its totient is φ = 4034396160.

The previous prime is 14418689981. The next prime is 14418690101. The reversal of 14418690048 is 84009681441.

14418690048 is a `hidden beast` number, since 1 + 441 + 86 + 90 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14418689985 and 14418690012.

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, 62963598 + ... + 62963826.

Almost surely, 214418690048 is an apocalyptic number.

14418690048 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 14418690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24297385840).

14418690048 is an abundant number, since it is smaller than the sum of its proper divisors (34176081632).

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

14418690048 is an equidigital number, since it uses as much as digits as its factorization.

14418690048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14418690048 in words is "fourteen billion, four hundred eighteen million, six hundred ninety thousand, forty-eight".