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14470729680 = 24351123673557
BaseRepresentation
bin11010111101000010…
…11100111111010000
31101100111020020022010
431132201130333100
5214114001322210
610351525542520
71021412113161
oct153641347720
941314206263
1014470729680
116156393430
12297a274a40
131497cb6154
149b3c0d768
1559a618920
hex35e85cfd0

14470729680 has 320 divisors, whose sum is σ = 51841824768. Its totient is φ = 3304519680.

The previous prime is 14470729643. The next prime is 14470729699. The reversal of 14470729680 is 8692707441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4066462 + ... + 4070018.

Almost surely, 214470729680 is an apocalyptic number.

14470729680 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 14470729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920912384).

14470729680 is an abundant number, since it is smaller than the sum of its proper divisors (37371095088).

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

14470729680 is a wasteful number, since it uses less digits than its factorization.

14470729680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 14470729680 in words is "fourteen billion, four hundred seventy million, seven hundred twenty-nine thousand, six hundred eighty".