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14919049152 = 2637715227
BaseRepresentation
bin11011110010011111…
…01001111111000000
31102111201211020000000
431321033221333000
5221023234033102
610504223000000
71035464553060
oct157117517700
942451736000
1014919049152
116366461497
122a84439000
131539b44c47
14a175913a0
155c4b7401c
hex3793e9fc0

14919049152 has 224 divisors, whose sum is σ = 50747005440. Its totient is φ = 4262305536.

The previous prime is 14919049139. The next prime is 14919049157. The reversal of 14919049152 is 25194091941.

14919049152 is a `hidden beast` number, since 1 + 491 + 9 + 0 + 4 + 9 + 152 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14919049098 and 14919049107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14919049157) 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, 972163 + ... + 987389.

Almost surely, 214919049152 is an apocalyptic number.

14919049152 is a gapful number since it is divisible by the number (12) 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 14919049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25373502720).

14919049152 is an abundant number, since it is smaller than the sum of its proper divisors (35827956288).

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

14919049152 is an frugal number, since it uses more digits than its factorization.

14919049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15267 (or 15239 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 14919049152 in words is "fourteen billion, nine hundred nineteen million, forty-nine thousand, one hundred fifty-two".