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14955500448 = 253472943661
BaseRepresentation
bin11011110110110101…
…01101001110100000
31102121021102010210000
431323122231032200
5221112102003243
610512004140000
71036416441060
oct157332551640
942537363700
1014955500448
116384a98929
122a94697600
131544568465
14a1c35d3a0
155c7e745d3
hex37b6ad3a0

14955500448 has 480 divisors, whose sum is σ = 53290258560. Its totient is φ = 4023613440.

The previous prime is 14955500411. The next prime is 14955500453. The reversal of 14955500448 is 84400555941.

14955500448 is a `hidden beast` number, since 1 + 4 + 95 + 550 + 0 + 4 + 4 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 22625238 + ... + 22625898.

It is an arithmetic number, because the mean of its divisors is an integer number (111021372).

Almost surely, 214955500448 is an apocalyptic number.

14955500448 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 14955500448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645129280).

14955500448 is an abundant number, since it is smaller than the sum of its proper divisors (38334758112).

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

14955500448 is a wasteful number, since it uses less digits than its factorization.

14955500448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 14955500448 in words is "fourteen billion, nine hundred fifty-five million, five hundred thousand, four hundred forty-eight".