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14637289680 = 2435513173407
BaseRepresentation
bin11011010000111001…
…10101000011010000
31101210002122100200000
431220130311003100
5214434121232210
610420235530000
71025503623636
oct155034650320
941702570600
1014637289680
116231406422
122a05bb9900
1314c3662770
149cbda9356
155aa069ac0
hex3687350d0

14637289680 has 480 divisors, whose sum is σ = 58145278464. Its totient is φ = 3390087168.

The previous prime is 14637289633. The next prime is 14637289687. The reversal of 14637289680 is 8698273641.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14637289687) 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, 4294537 + ... + 4297943.

Almost surely, 214637289680 is an apocalyptic number.

14637289680 is a gapful number since it is divisible by the number (10) 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 14637289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29072639232).

14637289680 is an abundant number, since it is smaller than the sum of its proper divisors (43507988784).

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

14637289680 is a wasteful number, since it uses less digits than its factorization.

14637289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14637289680 in words is "fourteen billion, six hundred thirty-seven million, two hundred eighty-nine thousand, six hundred eighty".