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14850813376 = 267331139157
BaseRepresentation
bin11011101010010110…
…10110110111000000
31102022222102111010001
431311023112313000
5220403302012001
610453344245344
71034005555000
oct156513266700
942288374101
1014850813376
116330995993
122a65610854
131528973449
14a0c4ac000
155bdb96001
hex3752d6dc0

14850813376 has 224 divisors, whose sum is σ = 35958272000. Its totient is φ = 6076062720.

The previous prime is 14850813371. The next prime is 14850813409. The reversal of 14850813376 is 67331805841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 14850813376 = 543 + 24583 = 18483 + 20443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14850813371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94591090 + ... + 94591246.

It is an arithmetic number, because the mean of its divisors is an integer number (160528000).

Almost surely, 214850813376 is an apocalyptic number.

14850813376 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 14850813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979136000).

14850813376 is an abundant number, since it is smaller than the sum of its proper divisors (21107458624).

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

14850813376 is a wasteful number, since it uses less digits than its factorization.

14850813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 14850813376 in words is "fourteen billion, eight hundred fifty million, eight hundred thirteen thousand, three hundred seventy-six".